Atkin-Lehner |
3- 7+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
40887g |
Isogeny class |
Conductor |
40887 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-85384473622029351 = -1 · 39 · 73 · 118 · 59 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58527,12944880] |
[a1,a2,a3,a4,a6] |
j |
30413107719188207/117125478219519 |
j-invariant |
L |
0.48549536984988 |
L(r)(E,1)/r! |
Ω |
0.24274768499979 |
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 |
13629c1 |
Quadratic twists by: -3 |