Under almost all circumstances you are not eligible to become a US citizen if you have been convicted of a felony. In addition, you may be also subject to deportation depending upon what others offenses may be in your record.
Anyone who has been convicted of a felony is not eligible to become a US citizen. If it would have been a misdemeanor, you would have been turned down also.
This based mostly on your specific situation. The types of offense also make a difference. While all cases are reviewed if you are a convicted felon it is highly unlikely that your citizenship will be approved.