  We report the discovery and analysis of the follow-up ROSAT pointed
observation, an ASCA observation and optical and radio observations of the
enigmatic soft X-ray AGN RX J0134.2-4258. In the optical, RX J0134.2-4258
appears as an extreme 'Narrow-Line Seyfert 1 galaxy' (NLS1), with very strong
FeII emission, very blue optical continuum spectrum and almost no Narrow Line
Region emission. While its spectrum was one of the softest observed from an AGN
during the ROSAT All-Sky Survey, its spectrum was found to be dramatically
harder during a pointed observation although the count rate remained constant.
We found in the pointed observation that the spectrum is softer when it is
fainter and spectral fitting demonstrates that it is the hard component that is
variable. The ASCA observation confirms the presence of a hard X-ray power law,
the slope of which is rather flat compared with other NLS1s. Survey and
followup radio observations reveal that RX J0134.2-4258 is also unusual in that
it is a member of the rare class of radio-loud NLS1s, and, with R=71, it holds
the current record for largest radio-to-optical ratio in NLS1s. We discuss
possible scenarios to explain its strange behaviour.
