Atkin-Lehner |
2- 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550q |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-2420480000000 = -1 · 214 · 57 · 31 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,74781] |
[a1,a2,a3,a4,a6] |
Generators |
[45:377:1] [-90:2241:8] |
Generators of the group modulo torsion |
j |
-47045881/154910720 |
j-invariant |
L |
12.43908741479 |
L(r)(E,1)/r! |
Ω |
0.6550037664331 |
Real period |
R |
0.33912257051426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18910d1 |
Quadratic twists by: 5 |