We present a study of the recently discovered intermediate polar 1RXS J070407+262501 , distinctive for its large-amplitude pulsed signal at P = 480 s. Radial velocities indicate an orbital period of 0.1821 ( 2 ) d , and the light curves suggest 0.18208 ( 6 ) d. Time-series photometry shows a precise spin period of 480.6700 ( 4 ) s , decreasing at a rate of 0.096 ( 9 ) ms yr ^ { -1 } , i.e .
on a time scale P / \dot { P } = 2.5 \times 10 ^ { 6 } yr .
The light curves also appear to show a mysterious signal at P = 0.263 d , which could possibly signify the presence of a “ superhump ” in this magnetic cataclysmic variable .