Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968dz |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-2.9598347198772E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10976757,-22118070854] |
[a1,a2,a3,a4,a6] |
j |
228516153239/462422016 |
j-invariant |
L |
0.40520923079907 |
L(r)(E,1)/r! |
Ω |
0.050651256548832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246br1 40656cg1 121968fr1 |
Quadratic twists by: -4 -3 -11 |