Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416y |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-54263808 = -1 · 218 · 32 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,351] |
[a1,a2,a3,a4,a6] |
j |
-15625/207 |
j-invariant |
L |
3.3756869077245 |
L(r)(E,1)/r! |
Ω |
1.6878434538622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416c1 1104f1 13248bb1 110400fs1 |
Quadratic twists by: -4 8 -3 5 |