Atkin-Lehner |
2+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
72512j |
Isogeny class |
Conductor |
72512 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-27993539526656 = -1 · 214 · 115 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 1 -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5195,-208109] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1133:8] |
Generators of the group modulo torsion |
j |
946186674176/1708590059 |
j-invariant |
L |
5.9080426896788 |
L(r)(E,1)/r! |
Ω |
0.34864802967809 |
Real period |
R |
1.6945578882906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72512q1 4532a1 |
Quadratic twists by: -4 8 |