Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69290s |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
49474792250000 = 24 · 56 · 136 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28311,1799641] |
[a1,a2,a3,a4,a6] |
Generators |
[56:597:1] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
4.4667036388819 |
L(r)(E,1)/r! |
Ω |
0.63452614233359 |
Real period |
R |
1.7598580034242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410c1 |
Quadratic twists by: 13 |