Atkin-Lehner |
2- 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450ch |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
405822656250000 = 24 · 34 · 511 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-89563,10263617] |
[a1,a2,a3,a4,a6] |
j |
5084987456776681/25972650000 |
j-invariant |
L |
8.5629231525216 |
L(r)(E,1)/r! |
Ω |
0.53518270016343 |
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 |
17490c1 |
Quadratic twists by: 5 |