Atkin-Lehner |
2- 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90896x |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15091200 |
Modular degree for the optimal curve |
Δ |
-479651714759766016 = -1 · 212 · 132 · 195 · 234 |
Discriminant |
Eigenvalues |
2- 0 1 -1 3 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1646906912,-25724781341712] |
[a1,a2,a3,a4,a6] |
Generators |
[58313237257:14169958510513:704969] |
Generators of the group modulo torsion |
j |
-120606557357926050532382048256/117102469423771 |
j-invariant |
L |
6.343040120194 |
L(r)(E,1)/r! |
Ω |
0.011849561953654 |
Real period |
R |
13.382435876117 |
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 |
5681d1 |
Quadratic twists by: -4 |