Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708a |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
3.2848311353296E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12015449,-15787962906] |
[a1,a2,a3,a4,a6] |
j |
2484069056663830528/42533679281301 |
j-invariant |
L |
0.64938946523465 |
L(r)(E,1)/r! |
Ω |
0.081173755944402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9516a1 |
Quadratic twists by: 13 |