Atkin-Lehner |
2- 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bk |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1378031104650240 = -1 · 210 · 312 · 5 · 17 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-695012,-222849529] |
[a1,a2,a3,a4,a6] |
j |
-50929862936480458489/1890303298560 |
j-invariant |
L |
4.9604584393091 |
L(r)(E,1)/r! |
Ω |
0.082674307323814 |
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 |
15810e1 |
Quadratic twists by: -3 |