Look into alert_sid.log or v$instance.startup_time
oracle@mutation#desc mutation v\$instance
Table:v$instance
Name Null? Type
----------------------------------- -------- ------------------------
INSTANCE_NUMBER NUMBER
INSTANCE_NAME VARCHAR2(16)
HOST_NAME VARCHAR2(64)
VERSION VARCHAR2(17)
STARTUP_TIME DATE
STATUS VARCHAR2(12)
PARALLEL VARCHAR2(3)
THREAD# NUMBER
ARCHIVER VARCHAR2(7)
LOG_SWITCH_WAIT VARCHAR2(11)
LOGINS VARCHAR2(10)
SHUTDOWN_PENDING VARCHAR2(3)
DATABASE_STATUS VARCHAR2(17)
INSTANCE_ROLE VARCHAR2(18)
ACTIVE_STATE VARCHAR2(9)