You could use a densitometer or any available gel analysis software or antibody staining where the antibody is labelled with a fluorophore or some other technique.
if you want to know the absolute amount you may also load some purified protein in a known amount as your 'marker' then you can compare the densitometry.
Instead of quantifying your protein with respect to one standard protein of known amount/concentration. Create a calibration curve and use it to quantify your protein, the accuracy is better.