We report the detection of a very short timescale flare in the radio-loud n
arrow-line quasar PKS 0558 - 504 that was observed using ASCA. The X-ray co
unt rates increased and decreased by a factor of 2 in 33 minutes and possib
ly by 40% in as short a time period as 2 minutes during this flare, confirm
ing with imaging detectors that such a flare event does occur in this objec
t. The implied largest rate of change in luminosity in 0.8-10 keV alone, dL
/dt similar or equal to (1.8 +/- 0.4) x 10(42) ergs s(-2), is several times
higher than the limit set for the isotropic emitting plasma around a Kerr
black hole. Emission from either a relativistic boosting jet or a magnetic
heated corona may explain such high radiative efficiency. A magnetic field
with a strength of at least a few times 10(4) C is required in the latter c
ase. The spectrum during this flare is significantly harder than an average
spectrum. Three radio-loud narrow-line active galactic nuclei (AGNs) posse
ss considerably smaller black holes than the radio-loud AGNs in bright-quas
ar survey, indicating that they are still in a rapid-growth phase of the bl
ack hole by accretion.