Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238cm |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
532480 |
Modular degree for the optimal curve |
Δ |
3603652515201024 = 220 · 310 · 112 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38561,400241] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:1048:1] [-137:1828:1] |
Generators of the group modulo torsion |
j |
8698222022728393/4943281913856 |
j-invariant |
L |
15.11024597489 |
L(r)(E,1)/r! |
Ω |
0.38135747587035 |
Real period |
R |
0.9905565598023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746n1 |
Quadratic twists by: -3 |