Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416et |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
3119873283072 = 210 · 314 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8616,295864] |
[a1,a2,a3,a4,a6] |
Generators |
[74:252:1] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
4.6569461895384 |
L(r)(E,1)/r! |
Ω |
0.79043288255128 |
Real period |
R |
1.4729100636931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416co1 13104v1 17472cm1 |
Quadratic twists by: -4 8 -3 |