Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61712n |
Isogeny class |
Conductor |
61712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-557110263808 = -1 · 218 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395,-36038] |
[a1,a2,a3,a4,a6] |
Generators |
[613:15168:1] |
Generators of the group modulo torsion |
j |
-1664006625/136013248 |
j-invariant |
L |
6.5568222610149 |
L(r)(E,1)/r! |
Ω |
0.40707987103508 |
Real period |
R |
4.026741880329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7714e1 |
Quadratic twists by: -4 |