Atkin-Lehner |
2+ 3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7626c |
Isogeny class |
Conductor |
7626 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
2.3041982261474E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-793509,-144145395] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:6585:1] |
Generators of the group modulo torsion |
j |
55256088425201041579993/23041982261473837056 |
j-invariant |
L |
3.1575088113068 |
L(r)(E,1)/r! |
Ω |
0.16598606217147 |
Real period |
R |
3.1704557700001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61008m1 22878h1 |
Quadratic twists by: -4 -3 |