[en] A search for emission from Hercules X-1 at energies above 50 TeV during the calendar period April 1986 to July 1987 yielded two significant bursts, on UT 24 July 1986. The events during these bursts were pulsed with a period of 1.2357 s, significantly different from estimates of the contemporaneous x-ray period. The probability that this represents random statistical fluctuations of the background is estimated to be 1/70000. The muon content of the burst events is anomalous when compared with expectations from gamma-ray showers. 11 refs., 1 fig