Atkin-Lehner |
5- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275p |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
3019625 = 53 · 72 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40,-38] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] [-2:6:1] |
Generators of the group modulo torsion |
j |
55306341/24157 |
j-invariant |
L |
6.1842685718128 |
L(r)(E,1)/r! |
Ω |
1.9797115796724 |
Real period |
R |
3.1238230029452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86275t1 |
Quadratic twists by: 5 |