Atkin-Lehner |
3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627i |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7015680 |
Modular degree for the optimal curve |
Δ |
6.7312700292484E+19 |
Discriminant |
Eigenvalues |
2 3+ 4 7+ 5 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1585276,659618559] |
[a1,a2,a3,a4,a6] |
j |
91280608490377216/13945590200997 |
j-invariant |
L |
8.9924731907661 |
L(r)(E,1)/r! |
Ω |
0.18734319051976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279g1 |
Quadratic twists by: 13 |