Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168cq |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
96135659716608 = 216 · 33 · 193 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 0 6 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59832,5593428] |
[a1,a2,a3,a4,a6] |
Generators |
[132:114:1] |
Generators of the group modulo torsion |
j |
5783244897596473/23470620048 |
j-invariant |
L |
10.625080622848 |
L(r)(E,1)/r! |
Ω |
0.60314669651659 |
Real period |
R |
0.97867112621287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146c1 |
Quadratic twists by: -4 |