Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cc |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
6.440046795125E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10170200,-2601329000] |
[a1,a2,a3,a4,a6] |
Generators |
[-9921789735:-473389580425:4826809] |
Generators of the group modulo torsion |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
7.325225469966 |
L(r)(E,1)/r! |
Ω |
0.090555714785278 |
Real period |
R |
13.481986329808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600l1 24400b1 19520s1 |
Quadratic twists by: -4 8 5 |