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We present the discovery of HLock01-LAB, a luminous and large Lya nebula atz=3.326. Medium-band imaging and long-slit spectroscopic observations with theGran Telescopio Canarias reveal extended emission in the Lya 1215\AA,CIV1550\AA, and HeII 1640\AA lines over ~100kpc, and a total luminosityL(Lya)=(6.4+/-0.1)x10^44 erg s^-1. HLock01-LAB presents an elongated morphologyaligned with two faint radio sources contained within the central ~8kpc of thenebula. The radio structures are consistent to be faint radio jets or lobes ofa central galaxy, whose spectrum shows nebular emission characteristic of atype-II active galactic nucleus (AGN). The continuum emission of the AGN atshort wavelengths is, however, likely dominated by stellar emission of the hostgalaxy, for which we derive a stellar mass M* = 2.3x10^11 Msun. The detectionof extended emission in CIV and CIII] indicates that the gas within the nebulais not primordial. Feedback may have enriched the halo at at least 50 kpc fromthe nuclear region. Using rest-frame UV emission-line diagnostics, we find thatthe gas in the nebula is likely heated by the AGN. Nevertheless, at the centerof the nebula we find extreme emission line ratios of Lya/CIV~60 andLya/HeII~80, one of the highest values measured to date, and well above thestandard values of photoionization models (Lya/HeII~30 for case Bphotoionization). Our data suggest that jet-induced shocks are likelyresponsible for the increase of the electron temperature and, thus, theobserved Lya enhancement in the center of the nebula. This scenario is furthersupported by the presence of radio structures and perturbed kinematics in thisregion. The large Lya luminosity in HLock01-LAB is likely due to a combinationof AGN photoionization and jet-induced shocks, highlighting the diversity ofsources of energy powering Lya nebulae. [abridged]

Discovery of a giant and luminous Lya+CIV+HeII nebula at z=3.326 with extreme emission line ratios