VIJAYA GANAPATHI
Appearance:

Ashlesha Nakshatra or Ayilyam Nakshatra is related to Vijaya Ganapati.
In Vijaya Ganapathi form the lord appear in a red hue with four hands sitting on the Mooshika Vahana (Rat) which depicted in proportionate size.

On his main right hand holds his favorite fruit golden mango and the upper right hand the noose. On the main left hand holds his tusk and upper left hand an elephant goad. The word Vijaya means the Victorious.
Mantra:

atha vijayagaNapatidhyAnaM || mudgalapurANE ||

pAshAMkushasvadaMtAmraPalavAnAKuvAhanaH viGnaM nihaMtu nassarvaM |
raktavarNO vinAyakaH || 14 || raktavarNaH

Mantra (Easy to read):

atha vijaya ganapati dhyaanam || mudgala puraane ||

Pashankusha Svadhantamra Phalavan Akhuvahanah |
Vighnam Nihantu Nah Sarvam Raktavarno Vinayakah || 14 || raktavarnah
Mantra Translation:

Vijaya Ganapati riding a rat which trots at a smart pace.
He has four arms. He is red in colour. His hands hold the single tusk, the elephant goad, the noose and the mango.
Mantra Benefits:

Worshipping this form is believed to give success for the devotees on all their ventures. Also there is popular belief that praying this form will provide instant relief from troubles.