Atkin-Lehner |
3- 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52065l |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
4744423125 = 38 · 54 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -2 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8202,-285890] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:2:1] |
Generators of the group modulo torsion |
j |
83705785974784/6508125 |
j-invariant |
L |
4.580229887033 |
L(r)(E,1)/r! |
Ω |
0.50167405298578 |
Real period |
R |
1.1412364910433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355a1 |
Quadratic twists by: -3 |