Atkin-Lehner |
5+ 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116725m |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1048701171875 = -1 · 510 · 7 · 232 · 29 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- -6 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1042,47193] |
[a1,a2,a3,a4,a6] |
j |
12800000/107387 |
j-invariant |
L |
1.2791082468694 |
L(r)(E,1)/r! |
Ω |
0.63955462540553 |
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 |
116725n1 |
Quadratic twists by: 5 |