We have carried out observations of the newly-discovered magnetar in the direction of Sagittarius A* using the Australia Telescope Compact Array in four frequency bands from 4.5 to 20 GHz. Radio pulsations are clearly detected at all frequencies. We measure the pulsars dispersion measure to be 1650 +/- 50 pc/cm^3, the highest of any of the known pulsars. Once Faraday rotation has been taken into account, the pulse profile is more than 80% linearly polarized at all frequencies and has a small degree (5%) of circular polarization. The rotation measure of -67000 +/- 500$ rad/m^2 is the largest (in magnitude) ever measured for a pulsar but still a factor 8 smaller than Sgr A* itself. The combination of the dispersion and rotation measures implies an integrated magnetic field strength of -50uG along the line of sight. The flux density appears to have increased by about a factor of two between observations made 30 days apart. This object therefore joins the small class of radio emitting magnetars.