Advanced LIGO detected a significant gravitational wave signal (GW170104) originating from the coalescence of two black holes during the second observation run on January 4th, 2017. An all-sky high-energy neutrino follow-up search has been made using data from the Antares neutrino telescope, including both upgoing and downgoing events in two separate analyses. No neutrino candidates were found within Formula omitted s around the GW event time nor any time clustering of events over an extended time window of Formula omitted months. The non-detection is used to constrain isotropic-equivalent high-energy neutrino emission from GW170104 to less than Formula omitted erg for a Formula omitted spectrum. This constraint is valid in the energy range corresponding to the 5-95% quantiles of the neutrino flux 3.2 TeV; 3.6 PeV, if the GW emitter was below the Antares horizon at the alert time.