Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696du |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
3041623041766391808 = 216 · 39 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-431244,69574032] |
[a1,a2,a3,a4,a6] |
j |
2916 |
j-invariant |
L |
3.7237951063565 |
L(r)(E,1)/r! |
Ω |
0.23273719458184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696b1 17424c1 69696dw1 69696dv1 |
Quadratic twists by: -4 8 -3 -11 |