  We present and discuss new spectroscopic observations of the unusual galaxy
J2310-43. The observations cover a wide wavelength range, from 3700 A to 9800 A
allowing the study of both the regions where H alpha and the Ca II ``contrast''
are expected. No evidence for H alpha in emission is found and we thus confirm
the absence of emission lines in the spectrum of J2310-43, ruling out the
possibility that it may host a Seyfert nucleus. The CaII break is clearly
detected and the value of the contrast (38 +/-4 %) is intermediate between that
of a typical elliptical galaxy (about 50 %) and that of a BL Lac object (<25
%). This result imposes limits on the intensity of a possible non-stellar
continuum and, in the light of the radio and X-ray loudness of the source,
draws further attention to the problem of the recognition of a BL Lac object.
Objects like J2310-43 may be more common than previously recognized, and begin
to emerge in surveys of radio-emitting X-ray sources.
