you computer gives 18amps @ 12 volt dc
the surge protector handles 15amp @ 125 volt ac, which is what every normal house outlet holds (an AC outlets is usually 20amps. I run me a special circuit that send 30amp @ 125 volt, But I have a Pro poweramp that produce 2600 watt RMS, plus a few other thing). an 15amp surge protect is good for 1850watts continous power. a 18 amps 12volts circuit is equal to about 100watts and that is not even continous watts, but the process is actually more complicated than that as your Ac convertor in your psu uses even more watts
but you will be ok. you won't even be close to do any damage