Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bp |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
16664896 = 26 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 1 3 4 6 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,-127] |
[a1,a2,a3,a4,a6] |
j |
575930368/260389 |
j-invariant |
L |
5.1790208908477 |
L(r)(E,1)/r! |
Ω |
1.7263402973486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664t1 14416j1 |
Quadratic twists by: -4 8 |