Atkin-Lehner |
5+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275i |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8640000 |
Modular degree for the optimal curve |
Δ |
-3.6889776657104E+20 |
Discriminant |
Eigenvalues |
2 1 5+ 7- -4 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-42986658,-108498006281] |
[a1,a2,a3,a4,a6] |
Generators |
[5571511402:385573580319:551368] |
Generators of the group modulo torsion |
j |
-562217995949866169135104/23609457060546875 |
j-invariant |
L |
14.214673407935 |
L(r)(E,1)/r! |
Ω |
0.029480513465182 |
Real period |
R |
13.393662209298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17255b1 |
Quadratic twists by: 5 |