Atkin-Lehner |
2- 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752o |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
387840 |
Modular degree for the optimal curve |
Δ |
38894867712 = 28 · 310 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 3 6 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-430689,-108934893] |
[a1,a2,a3,a4,a6] |
j |
34512474172463014912/151933077 |
j-invariant |
L |
3.727249977212 |
L(r)(E,1)/r! |
Ω |
0.18636249916536 |
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 |
123504d1 |
Quadratic twists by: -4 |