Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7440o |
Isogeny class |
Conductor |
7440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
13617871257600 = 216 · 32 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-307520,65740800] |
[a1,a2,a3,a4,a6] |
j |
785209010066844481/3324675600 |
j-invariant |
L |
2.488400491401 |
L(r)(E,1)/r! |
Ω |
0.62210012285026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
930o3 29760cm4 22320bn4 37200cz4 |
Quadratic twists by: -4 8 -3 5 |