What song is this?!!?!? from twilight?

ok o i LUV twilight!!! and do u no the piano scene where edward is like playing piano....well wat song is he playing? is it bellas lullaby? cuz wen i youtubed it, the song was totaly different and it was NOT her real lullaby from the movie. wat song is it? ps. who do u think is the hottest guy from twilight? i think its EMMETT and EDWARD!! EMMETT IS SOOOO CUTE!!!