Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018q |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-135443044 = -1 · 22 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 2 11- -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-364,-2637] |
[a1,a2,a3,a4,a6] |
j |
-157113/4 |
j-invariant |
L |
4.3664091934024 |
L(r)(E,1)/r! |
Ω |
0.54580120837012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018b1 128018r1 |
Quadratic twists by: -11 -23 |