Atkin-Lehner |
2- 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bz |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
642048 |
Modular degree for the optimal curve |
Δ |
930299550508224 = 26 · 311 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13- 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4016064,-3096430506] |
[a1,a2,a3,a4,a6] |
j |
111929798417942466883648/14535930476691 |
j-invariant |
L |
0.63988310441844 |
L(r)(E,1)/r! |
Ω |
0.10664718407496 |
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 |
42432cr1 21216n2 127296cx1 |
Quadratic twists by: -4 8 -3 |