Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671t |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2720256 |
Modular degree for the optimal curve |
Δ |
-8.585398156977E+22 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 4 -7 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8735181,9999589360] |
[a1,a2,a3,a4,a6] |
j |
2505702744756224/2918438543637 |
j-invariant |
L |
0.57515459727683 |
L(r)(E,1)/r! |
Ω |
0.071894324659603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557f1 13671n1 |
Quadratic twists by: -3 -7 |