Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bp |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
8808066001154448 = 24 · 315 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53069,-1310619] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1524:1] |
Generators of the group modulo torsion |
j |
22673116735596937/12082395063312 |
j-invariant |
L |
10.798467453289 |
L(r)(E,1)/r! |
Ω |
0.33428908391471 |
Real period |
R |
4.037847768666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142f1 |
Quadratic twists by: -3 |