Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552bn |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.238681528732E+23 |
Discriminant |
Eigenvalues |
2- 3 0 7- 0 -1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2875565,-16828820974] |
[a1,a2,a3,a4,a6] |
Generators |
[6610609374189134347428699748656093:-512422751217504313470804184032520670:1102312260076168266208357083867] |
Generators of the group modulo torsion |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
10.502946553104 |
L(r)(E,1)/r! |
Ω |
0.050078357088428 |
Real period |
R |
52.432563505218 |
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 |
5194h1 5936k1 |
Quadratic twists by: -4 -7 |