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We show that a source-to-detector distance of 2540 km offers multipleadvantages for a low energy neutrino factory with a detector that can identifymuon charge. At this baseline, for any neutrino hierarchy, the wrong-sign muonsignal is almost independent of CP violation and $\theta_{13}$ in certainenergy ranges. This reduces the uncertainties due to these parameters andallows the identification of the hierarchy in a clean way. In addition, part ofthe muon spectrum is also sensitive to the CP violating phase and$\theta_{13}$, so that the same setup can be used to probe these parameters aswell.

2540 km: Bimagic baseline for neutrino oscillation parameters