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HELP ! some questions about colpitts oscillator

hello everyone, I have some problems in understanding this cicuit
A69187ECEC864C199C5E2587E2621AEE.gif

I know how it works, but I do not arive to calculate the component values.
colpitts the oscillator can be summarized by the following scheme (common base):
501819B76ED64BBBBF211FABF8A1DFF3.png

but in the circuit, I do not see this structure, ie a coil between the emitter and the collector, and the other capacitors, can you explain me that?
and also calculates component
thank you
 
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