Can the Supreme Court overturn treaties ratified by the Congress and signed by the president?
Not to my knowledge. Once a treaty becomes ratified by the Senate, it has the power of the Constitution behind it as if it is apart of it until we withdrawal from the said treaty.
Yes.
BLACK, J., Judgment of the Court
SUPREME COURT OF THE UNITED STATES
354 U.S. 1
Reid v. Covert
http://www.law.cornell.edu/supct/html/historics/USSC_CR_0354_0001_ZO.html
Reid v. Covert, 354 U.S. 1 (1957), is a landmark case in which the United States Supreme Court ruled that the Constitution supersedes international treaties ratified by the United States Senate.