Atkin-Lehner |
2+ 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550a |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4577760 |
Modular degree for the optimal curve |
Δ |
1.444680551808E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 4 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20710950,-35823163500] |
[a1,a2,a3,a4,a6] |
Generators |
[-54137366143037615664386836885554669429:231481445799040146301968048600504281666:19091605871486365146711298601870661] |
Generators of the group modulo torsion |
j |
100605972186146295025/1479352885051392 |
j-invariant |
L |
4.2651674693483 |
L(r)(E,1)/r! |
Ω |
0.070833112730441 |
Real period |
R |
60.214316510127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550cg1 |
Quadratic twists by: 5 |