Tweet intents are links that immediately prompt the user to do something when they visit your page. These are the ones I like to use.
Prompt to follow
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Prompt to tweet
If you are sharing a link, don't include any conversational text. You can, but don't. No one wants to be the mouthpiece for your marketing copy, so all you're doing is increasing the burden of tweeting because they'll have to remove the text.
Click here to tweet this article
The rest of the intents are available in the official Twitter documentation