I believe it is called a Seiler oscillator. Wikipedia has a brief example that mentions how the frequency is determined.
If you know the inductor value, the cap value should be fairly simple to approximate. Whatever the inductor's reactance is at your desired frequency, calculate the pF needed to equal the same reactance and then subtract the pF from the cap the tank connects to (27pF). Should get you close enough to tweak values the rest of the way.
edit: and I never understood why they drew the schematic upside down. This is a little easier to look at.
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