Atkin-Lehner |
3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627h |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
19756800 |
Modular degree for the optimal curve |
Δ |
2.6176769369405E+24 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 5 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-34702178,-11462009869] |
[a1,a2,a3,a4,a6] |
j |
957489037049050624000/542320389503807733 |
j-invariant |
L |
3.7577797471623 |
L(r)(E,1)/r! |
Ω |
0.067103208992436 |
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 |
6279b1 |
Quadratic twists by: 13 |