Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
63525b |
Isogeny class |
Conductor |
63525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
29251103642578125 = 38 · 510 · 73 · 113 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11+ 7 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-148958,20590943] |
[a1,a2,a3,a4,a6] |
Generators |
[-9116:399125:64] |
Generators of the group modulo torsion |
j |
28121600000/2250423 |
j-invariant |
L |
11.289170488319 |
L(r)(E,1)/r! |
Ω |
0.3642578949067 |
Real period |
R |
7.7480616383352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63525cj1 63525l1 |
Quadratic twists by: 5 -11 |