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We present a study of the recently discovered intermediate polar 1RXSJ070407+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 lightcurves suggest 0.18208(6) d. Time-series photometry shows a precise spin periodof 480.6700(4) s, decreasing at a rate of 0.096(9) ms/yr, i.e. on a time scaleP/P-dot =2.5 x 10^6 yr. The light curves also appear to show a mysterioussignal at P = 0.263 d, which could possibly signify the presence of a"superhump" in this magnetic cataclysmic variable.

Rapid Oscillations in Cataclysmic Variables. XVII. 1RXS J070407+262501