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The Crab nebula pulsar was observed in 2009 January and December with a novelvery fast optical photon counter, Iqueye, mounted at the ESO 3.5 m NewTechnology Telescope. Thanks to the exquisite quality of the Iqueye data, wecomputed accurate phase coherent timing solutions for the two observing runsand over the entire year 2009. Our statistical uncertainty on the determinationof the phase of the main pulse and the rotational period of the pulsar forshort (a few days) time intervals are $\approx 1 \, \mu$s and ~0.5 ps,respectively. Comparison with the Jodrell Bank radio ephemerides shows that theoptical pulse leads the radio one by ~240 $\mu$s in January and ~160 $\mu$s inDecember, in agreement with a number of other measurements performed after1996. A third-order polynomial fit adequately describes the spin-down for the2009 January plus December optical observations. The phase noise is consistentwith being Gaussian distributed with a dispersion $\sigma$ of $\approx 15 \,\mu$s in most observations, in agreement with theoretical expectations forphoton noise-induced phase variability.

Optical phase coherent timing of the Crab nebula pulsar with Iqueye at the ESO New Technology Telescope