What was found
AT FL 390 LEFT ENGINE FLAMED OUT. ALL ENGINE INDICATIONS LOOKED NORMAL EXCEPT FUEL FLOW WAS 0. OIL PRESSURE STILL REMAINED APPROXIMATELY 13PSI WHEN SHUTDOWN. NO VIBRATIONS NO OTHER ABNORMAL INDICATIONS. WE ATTEMPTED TO RESTART WITHIN IN A DESCENT BELOW 290 AND AROUND 280KTS WITHOUT ANY AT 0 FOR A LONG TIME EXCEPT AT ON POINT IN WENT UP TO .3 FOR A SEVERAL SECONDS BEFORE DROPPING BACK TO ZERO ALL OTHER ENGINE INDICATIONS ON THE RESTART SEEMED NORMAL. DIVERTED TO JAX SINGLE ENGINE. SHUTDOWN WAS APPROXIMATELY 20 MINUTES. EMERGENCY WAS DECLARED ***EMERGENCY DECLARED*** FACT 12JUL22 15:33 JAX REPLACED EEC ALTERNATOR STATOR, MFG UNISON, P/N 77445SOCN1B7997, S/N N14460174 PER B757 M.M. 73-21-05-04. ACCOMPLISHED STATIC ENG RUN PER JRH CHAP 6. CK'S GOOD. ALSO VERIFIED REMOVED UNIT IS FAULTY REF B757 FIM 71-01-00-3 (TASK SUPPORT) FIG 303 EPCS WIRING HARNESS SCHEMATIC.