I know from personal experiene how deeply the LSAT can affect your chances of getting admitted. If you want the top 20, shoot for 162 and above.
I had a high GPA as well (3.75) and I majored in Computer Engineering and I scored a 159 on the LSAT, which is approximately the 80th percentile, if can remember correctly.
I was not even accepted to a school in the top 40. I was rejected from UC Hastings and Fordham.
Accepted to: Temple, Miami, Northeastern, St. Thomas (Full Scholarship)
I'm still waiting on UC Davis and University of San Diego.
The LSAT is weighted 4 to 5 times more heavily than the GPA....hence my current situation.
good luck......and prepare for the LSAT......I wish I did.