Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640x |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
12316309200 = 24 · 38 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39135,2966850] |
[a1,a2,a3,a4,a6] |
j |
414296096348010496/769769325 |
j-invariant |
L |
4.3442482884336 |
L(r)(E,1)/r! |
Ω |
1.0860620721087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280j1 88920i1 |
Quadratic twists by: -4 -3 |