Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672o |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
6259195712 = 26 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-246510,47190836] |
[a1,a2,a3,a4,a6] |
Generators |
[494:6762:1] |
Generators of the group modulo torsion |
j |
25885056960656530624/97799933 |
j-invariant |
L |
6.3133137213363 |
L(r)(E,1)/r! |
Ω |
0.89690359645357 |
Real period |
R |
1.4078020751585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672v1 113344ce2 |
Quadratic twists by: -4 8 |