Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544t |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-33340040002352 = -1 · 24 · 232 · 835 |
Discriminant |
Eigenvalues |
2- -1 0 3 5 4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12453,-598592] |
[a1,a2,a3,a4,a6] |
j |
-13349363777536000/2083752500147 |
j-invariant |
L |
2.2404318730707 |
L(r)(E,1)/r! |
Ω |
0.22404318730708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7636b1 122176bl1 |
Quadratic twists by: -4 8 |