Discussion below assumes you file with single status.
Unless these are Incentive Stock Options it is unlikely you will need to worry about the AMT. The $52,800 exemption doesn't change until your total income is over $117,300 (see
http://www.irs.gov/pub/irs-pdf/i6251.pdf).
For $53K AGI from wages only, and standard deduction, your 2015 federal tax would be ~$6,470.
For $53K wages + $30K LTCG = $83K AGI, and standard deduction, your 2015 federal tax would be ~$10,970. Difference is $4,500 or 15% of $30K.