Where do I put the education institution id number to qualify for the american opportunity credit

You enter the Filer's employer identification number when you enter your 1098-T form. 

To enter Form 1098-T:

1. Open or continue your return, if you're not already in it.
2. Search for 1098T and select the Jump to link at the top of the search results.
3. Select Yes on the Do you want to enter your higher education expenses? screen.
4. On the Your Education Expenses Summary screen, select Add A Student.
5. Select the name of your student (this could be you, your spouse, or a dependent) and Continue.
6. Answer some questions about the student and then you'll reach the Did [student] get a 1098-T from [school] for 2019? screen. Select Yes and Continue.
7. Enter the information from your 1098-T on the next screen. When you're finished, select Continue.

After you enter your 1098-T, we'll ask some additional questions, including whether the student had other expenses (books, supplies, equipment) and financial aid.

Here's some important info you need to know about Form 1098-T:

• If the student on the 1098-T is your dependent, enter the 1098-T on your return, even if your dependent paid the tuition.
• If you're the student on the 1098-T and you aren't being claimed as a dependent, enter the 1098-T on your return unless your employer paid for or reimbursed your tuition (in which case just keep the 1098-T with your tax records).
• Enter your 1098-T exactly as is even if the amounts are wrong (this is common). Don't worry, we'll give you the opportunity to correct the info and/or enter more expenses later.
• Leave blank boxes blank. Don't enter 0 for any blank boxes on the form, as this generates errors.

Source: TurboTax FAQ and video