Conservative justices who hold a majority on the U.S. Supreme Court appeared to endorse Arizona's immigration crackdown on Wednesday, rejecting the Obama administration stance that the federal government has sole power over those who illegally enter the United States.

During 80 minutes of oral arguments, the justices suggested by their questions and comments that states have significant latitude to adopt laws that discourage illegal immigrants from moving to and staying in the country.

Justice Anthony Kennedy, who often casts the deciding vote, referred to the "social and economic disruption" that states endure as a result of a flood of illegal immigrants and suggested that states such as Arizona have authority to act.

Arizona two years ago became the first of half a dozen U.S. states to pass laws aimed at driving illegal immigrants out, including requiring police to check the immigration status of anyone detained and suspected of being in the country illegally.

The battle over the law goes to the heart of a fierce national debate between Democrats and Republicans over what to do with the estimated 11.5 million illegal immigrants in the country, a number that has held steady in recent years.

Critics have said the Arizona law could lead to ethnic and racial profiling of the fast-growing Hispanic population, now equal to 16 percent of all Americans.

The four conservatives - Chief Justice John Roberts and Justices Kennedy, Antonin Scalia, and Samuel Alito - all asked tough questions of the administration's lawyer. Fellow conservative Justice Clarence Thomas did not ask any questions but is expected to support the Arizona law, based on his past votes.

The Supreme Court's immigration ruling is likely to come by the end of June, as the political campaign season heats up. It is expected around the same time justices are likely to rule on President Barack Obama's 2010 healthcare overhaul law.

The case, heard on the last day of oral arguments for the annual term, drew more than 100 reporters to the courtroom press seats and scores of people on the sidewalk outside the building. The immigration dispute is the second most important case of the term, following the healthcare dispute heard in March.

Only eight of the nine Supreme Court justices heard the arguments. Liberal Justice Elena Kagan, the former top Obama administration lawyer at the court, recused herself because she had worked on the matter previously.

Her fellow liberal justices appeared to accept that the conservative majority would vote to uphold at least part of the Arizona law and focused their questions on how those provisions, which have been on hold during the litigation, would be applied on the ground.

OBAMA SETBACK?

A decision for the Arizona law would be a setback for President Barack Obama, who has criticized it and has vowed to push for immigration legislation if re-elected on November 6. Republican presidential candidate Mitt Romney has said the government should drop its challenge to the law.

Roberts, who also could play a key role in deciding the case, spurned the administration's arguments that the Arizona law conflicted with the federal system and deemed it "an effort to help you enforce federal law."

Other parts of the Arizona law require immigrants to carry their papers at all times; ban illegal immigrants from soliciting work in public places; and allow police to arrest immigrants without a warrant if an officer believes they have committed a crime that would make them deportable.

Liberal Justices Stephen Breyer and Sonia Sotomayor asked how long suspected illegal immigrants could be held by authorities while their status was checked and whether that would violate their constitutional rights.

There will be a "significant number of people detained for a significantly longer period of time," Breyer said.

The third liberal hearing the case, Ruth Bader Ginsburg, asked more broadly about whether Arizona's new law conflicted with federal policy: "We don't want competing ... schemes."

RACIAL PROFILING AN ISSUE?

Roberts tried to cut off the argument that the Arizona law would lead to ethnic and racial profiling of Hispanics by interrupting the government attorney's opening statement and asserting that profiling was not at issue in the case.

The arguments, the last of the court's 2011-12 term, offered a rematch of the same attorneys who squared off in last month's historic battle over Obama's healthcare overhaul law.

Paul Clement, a solicitor general during Republican George W. Bush's presidency, represented Arizona and its Republican governor, Jan Brewer.

He argued that Arizona, on the southwest border with Mexico, bears a disproportionate share of the costs from illegal immigration. He said that state's law simply complemented the federal government's efforts.

Donald Verrilli, a former White House lawyer and now solicitor general under Obama, argued Arizona's law would result in "mass incarceration" of people unlawfully present in the United States and posed the risk of "significant foreign relations problems."

The conservative Scalia scoffed at that argument, saying that any problems could be avoided by releasing the people from jail and deporting them.

The Supreme Court last year upheld a different Arizona law that penalizes businesses for hiring illegal immigrants, and Roberts at one point cited that decision as a precedent.

The Supreme Court case is Arizona v. United States, No. 11-182.