Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6786r |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-40130015328 = -1 · 25 · 39 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,760,-5461] |
[a1,a2,a3,a4,a6] |
Generators |
[33:217:1] |
Generators of the group modulo torsion |
j |
66676466375/55048032 |
j-invariant |
L |
5.4083768034069 |
L(r)(E,1)/r! |
Ω |
0.63538660617136 |
Real period |
R |
0.28373155025495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54288bw1 2262g1 88218y1 |
Quadratic twists by: -4 -3 13 |