Forget GE. It has nothing to do with entry to the UK. Assuming you are a US citizen you are eligible to use the ePassport gates at Heathrow. You most likely do not need a visa, and EXP and GE have nothing to do with UK immigration.
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Global Entry provides expedited U.S. customs screening for international air travelers when entering the United States. Global Entry members also receive TSA PreCheck® benefits as part of their membership.
Acceptable forms of identification:U.S. passport card. DHS trusted traveler cards (Global Entry, NEXUS, SENTRI, FAST) U.S. Department of Defense ID, including IDs issued to dependents.
The fastest way to pass immigration quickly is to use the electronic gates wherever possible. I recently passed through Terminal 5 in less than two minutes this way. U.S. passport holders have been able to use U.K. ePassport gates at major U.K. airports including all London Heathrow terminals since 2019.
Fast Track for departing flights is available to first and business class passengers in addition to top tier members of airline frequent flier programmes. Fast Track also welcomes American Express Centurion card holders.
TSA PreCheck® provides expedited security screening benefits for flights departing from U.S. Airports. Global Entry provides expedited U.S. customs screening for international air travelers when entering the United States. Global Entry members also receive TSA PreCheck® benefits as part of their membership.
A $100 one-time fee is required with your Global Entry application and must be paid at time of application submission through the Trusted Traveler Program (TTP) system. You can pay by credit card or through an electronic bank transfer.
If your application is approved, you'll receive a Known Traveler Number (KTN) and can start using the benefits immediately. You'll also receive a Global Entry card in the mail after your interview which can be used when entering the U.S. through SENTRI or NEXUS lanes at land crossings.