The Edison module operates at 1.8V. You need a level translator, probably, a bidirectional one.
You probably have to initialize GPIOs on the Arduino module. They have different modes. Check the Arduino for Edison documentation about pinmuxing.
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Here’s the documentation with all these specifications. This is the Edison Module Hardware Guide, with all the information about its operation, and this is the Edison Arduino Board Hardware Guide where you can check instructions on how to initialize the GPIO as Vincenze mentioned.
Thanks for your reminding. I will check the guide again carefully. And will give a feedback soon.