Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275t |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
47181640625 = 59 · 72 · 17 · 29 |
Discriminant |
Eigenvalues |
1 0 5- 7- -4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-992,-5709] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:61:1] [-50:143:8] |
Generators of the group modulo torsion |
j |
55306341/24157 |
j-invariant |
L |
12.288396806911 |
L(r)(E,1)/r! |
Ω |
0.88535393359821 |
Real period |
R |
13.879643315874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86275p1 |
Quadratic twists by: 5 |