Atkin-Lehner |
2- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78416s |
Isogeny class |
Conductor |
78416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-1.4891736715995E+21 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 -6 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29088336,-60403474496] |
[a1,a2,a3,a4,a6] |
Generators |
[11202:1009606:1] |
Generators of the group modulo torsion |
j |
-137676653031953881/75322597376 |
j-invariant |
L |
1.9686786083778 |
L(r)(E,1)/r! |
Ω |
0.032503160102452 |
Real period |
R |
3.7855523201675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9802f1 6032g1 |
Quadratic twists by: -4 13 |