To describe the sound:
* Loudly
* Softly
* Heartily
* Merrily
* Hysterically
* Contagiously
* Forcefully
To describe the feeling:
* Joyfully
* Happily
* Sorrowfully (for a bitter or ironic laugh)
* Embarrassedly
* Nervously
To describe the manner:
* Awkwardly
* Uncontrollably
* Sarcastically
* Teasingly
Examples:
* She laughed loudly at the joke.
* He laughed softly to himself.
* The children laughed merrily at the clown.
* She laughed nervously when he asked her out.
* They laughed sarcastically at his attempt.
The best adverb to use depends on the specific situation and the emotion you want to convey.