Direct answer: Eagle identifies the E555 Diamond control-board family as compatible with the Eagle 1000. But a replacement board is revision-sensitive.
#ad See the current E555 listing and its compatibility warning
Why I would not buy by model name alone
The current Gate Operators Direct E555 listing says that SKU is for operators manufactured before January 2016 and non-UL applications. Check the existing board number, operator manufacture date, and UL version before ordering.