Atkin-Lehner |
2- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550z |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
6156406250000 = 24 · 510 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 -6 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12313,507031] |
[a1,a2,a3,a4,a6] |
j |
13212881163721/394010000 |
j-invariant |
L |
6.0110207002741 |
L(r)(E,1)/r! |
Ω |
0.75137758795605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710k1 |
Quadratic twists by: 5 |