Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326n |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
10782720 |
Modular degree for the optimal curve |
Δ |
-5.6972685482042E+24 |
Discriminant |
Eigenvalues |
2- -3 0 7- 0 1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10302885,-114134517237] |
[a1,a2,a3,a4,a6] |
Generators |
[5923:390298:1] |
Generators of the group modulo torsion |
j |
5456888637366375/257046368945408 |
j-invariant |
L |
5.6570500740005 |
L(r)(E,1)/r! |
Ω |
0.036399142578262 |
Real period |
R |
2.4283925704053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742d1 |
Quadratic twists by: 53 |