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Supermassive black holes (SMBHs) can capture and tidally disrupt stars orsub-stellar objects orbiting nearby. The detections of Sw J1644+57-like eventssuggest that at least some TDEs can launch a relativistic jet beaming towardsEarth. A natural expectation would be the existence of TDEs with a relativisticjet beaming away from Earth. The nearby TDE candidate IGR J12580+0134 providesnew insights into the jet phenomenon. Combining several constraints, we findthat the event invokes a $8-40$ Jupiter mass object tidally disrupted by a $3\times 10^5 - 1.8 \times 10^7 M_\sun$ SMBH. Recently, a bright radio transientwas discovered by Irwin et al. in association with IGR J12580+0134. We performdetailed modeling of the event based on a numerical jet model previouslydeveloped for the radio emission of Sw J1644+57. We find that the radio data ofIGR J12580+0134 can be interpreted within an external forward shock model inthe Newtonian regime. Using Sw J1644+57 as a template and properly correctingfor its luminosity, we argue that the observed X-ray flux in early times is toofaint to allow an on-beam relativistic jet unless the Lorentz factor is verysmall. Rather, the X-ray emission is likely from the disk or corona near theblack hole. From various constraints, we find that the data are consistent withan off-beam relativistic jet with a viewing angle $\theta_{\rm obs} \gtrsim30^{\rm o}$, and an initial Lorentz factor $\Gamma_j \gtrsim $ a few.Thisscenario can readily be tested in the upcoming VLBI observations.

IGR J12580+0134: The First Tidal Disruption Event with an Off-beam Relativistic Jet