Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12996o |
Isogeny class |
Conductor |
12996 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5348599541376048 = -1 · 24 · 39 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8664,3504949] |
[a1,a2,a3,a4,a6] |
j |
131072/9747 |
j-invariant |
L |
0.65601119690716 |
L(r)(E,1)/r! |
Ω |
0.32800559845358 |
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 |
51984cs1 4332c1 684b1 |
Quadratic twists by: -4 -3 -19 |