Please help me find an American gangster movie.

This is a story about how Irish and Italian gangs took root in new york and fought for territory. The time is set between 1846 and 1863. Armstrong (Leonardo DiCaprio) is the son of Warren, the leader of the dead rabbit gang, an Irish immigrant. After his father was murdered, he launched a revenge action against the indigenous leader "Bill the Butcher" (Daniel Day Lewis). In order to accomplish the great cause of revenge, he chose temporary patience and disguise. He joined the gang of "Bill the Butcher" and lived a gangster life again, but this time he supported his father-killer. . . . . .