We present an improved laboratory test of Lorentz invariance in electrodynamics by testing the isotropy of the speed of light. Our measurement compares the resonance frequencies of two orthogonal optical resonators that are implemented in a single block of fused silica and are rotated continuously on a precision air bearing turntable. An analysis of data recorded over the course of one year sets a limit on an anisotropy of the speed of light of Delta c/c ~ 1 x 10^{-17}. This constitutes the most accurate laboratory test of the isotropy of $c$ to date and allows to constrain parameters of a Lorentz violating extension of the standard model of particle physics down to a level of 10^{-17}.
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