DiCaprio in "Shutter Island." (Andrew Cooper/ Paramount Pictures)

Leonardo DiCaprio on the steps of Alexandria’s Masonic Temple Monday evening — fedora, retro plaid suit — filming a scene for the Hoover biopic, “J. Edgar.” Heck, it could have been Leo’s body double, but it sure looked like him. Much secrecy surrounding director Clint Eastwood’s D.C.-area shoots this week; the stars (including Josh Lucas, Dermot Mulroney and Armie Hammer on location this week) were barely visible to the public during filming Saturday and Sunday at the Library of Congress and Justice Department. The action later moved out to Warrenton and The Plains, Va.