Atkin-Lehner |
3- 7- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37023b |
Isogeny class |
Conductor |
37023 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-4775967 = -1 · 32 · 7 · 41 · 432 |
Discriminant |
Eigenvalues |
1 3- 0 7- 6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39,-41] |
[a1,a2,a3,a4,a6] |
j |
6804992375/4775967 |
j-invariant |
L |
5.5024369709131 |
L(r)(E,1)/r! |
Ω |
1.3756092427397 |
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 |
111069g1 |
Quadratic twists by: -3 |