Three talaaqs

Q: I gave my wife 3 talaqs at once. On the Internet 75% of imams say marriage is over, while other imams say 3 talaaqs together count as 1. She told me Wallahi Internet is not accurate, & the imam said it counts as 1. I had intercourse with her because I believed she was truthful but I felt guilty. I have since given official shariah talaaq. Are we both sinful or does she carry the greater burden?