The thermal expansion of the single crystal of UPt3 has been measured
at temperatures down to 1 mK by a capacitance dilatometer. We have fir
st observed a large thermal expansion anomaly around T(a)lpha=17 mK. I
t corresponds to the specific heat anomaly observed in 1992. Furthermo
re, the expansion coefficients depend on T-2 at the temperature above
T(a)lpha, and T-2 at that below T(a)lpha respectively.