I want to calculate the performance for actively managed equity mutual funds with the Carhart’s (1997) four-factor model.

rit = αiT + βiTRMRF + βiTSMBt + βiTHMLt + βiTPR1YRt + εit

If I go to “Monthly Returns and Fama-French Factors” I obtain small-minus-big return (SMB), high-minus-low return (HML), the one-year momentum factor (PR1YR) and the risk-free return rate (one month Treasury bill rate). I also get the "excess return on the market". My question: is this the alpha? So, in other words, is this return already risk adjusted with the beta? If not, how can I calculate it?

Many thanks for any help!