Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416gb |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3095112384 = 26 · 312 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,12080] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:108:1] [4:90:1] |
Generators of the group modulo torsion |
j |
2449456192/66339 |
j-invariant |
L |
8.812673650055 |
L(r)(E,1)/r! |
Ω |
1.4166992826266 |
Real period |
R |
6.2205675954853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416es1 26208v2 17472cd1 |
Quadratic twists by: -4 8 -3 |