Atkin-Lehner |
3- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10659h |
Isogeny class |
Conductor |
10659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
31977 = 32 · 11 · 17 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 0 11+ 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-667,-6679] |
[a1,a2,a3,a4,a6] |
j |
32746500703657/31977 |
j-invariant |
L |
1.8792135862773 |
L(r)(E,1)/r! |
Ω |
0.93960679313866 |
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 |
31977s1 117249n1 |
Quadratic twists by: -3 -11 |