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We present the discovery of eclipses in the X-ray light curves of the X-raybinary Swift J1858.6-0814. From these, we find an orbital period of$P=76841.3_{-1.4}^{+1.3}$ s ($\approx21.3$ hours) and an eclipse duration of$t_{\rm ec}=4098_{-18}^{+17}$ s ($\approx1.14$ hours). We also find severalabsorption dips during the pre-eclipse phase. From the eclipse duration toorbital period ratio, the inclination of the binary orbit is constrained to$i>70^\circ$. The most likely range for the companion mass suggests that theinclination is likely to be closer to this value than $90^\circ$. The eclipsesare also consistent with earlier data, in which strong variability ('flares')and the long orbital period prevent clear detection of the period or eclipses.We also find that the bright flares occurred preferentially in the post-eclipsephase of the orbit, likely due to increased thickness at the disc-accretionstream interface preventing flares being visible during the pre-eclipse phase.This supports the notion that variable obscuration is responsible for theunusually strong variability in Swift J1858.6-0814.

Dips and eclipses in the X-ray binary Swift J1858.6-0814 observed with NICER