Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4002p |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-368184 = -1 · 23 · 3 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1811224,938072696] |
[a1,a2,a3,a4,a6] |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
5.2226862643108 |
L(r)(E,1)/r! |
Ω |
0.87044771071846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32016w1 128064e1 12006j1 100050l1 |
Quadratic twists by: -4 8 -3 5 |