Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616bc |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-909193450176 = -1 · 26 · 36 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,686,-45124] |
[a1,a2,a3,a4,a6] |
j |
314432/8019 |
j-invariant |
L |
2.5700336700731 |
L(r)(E,1)/r! |
Ω |
0.42833894501218 |
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 |
11616u1 23232da2 34848u1 1056f1 |
Quadratic twists by: -4 8 -3 -11 |