Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ce |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
789083596800000 = 214 · 312 · 55 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116945,15294543] |
[a1,a2,a3,a4,a6] |
Generators |
[106:2025:1] [-299:4860:1] |
Generators of the group modulo torsion |
j |
10795741106269264/48161840625 |
j-invariant |
L |
9.0964307599614 |
L(r)(E,1)/r! |
Ω |
0.50621761579927 |
Real period |
R |
0.29949012954307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840de1 3480m1 83520z1 |
Quadratic twists by: -4 8 -3 |