Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792bf |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
535211712 = 26 · 34 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204,90] |
[a1,a2,a3,a4,a6] |
j |
14742169408/8362683 |
j-invariant |
L |
2.8297358267353 |
L(r)(E,1)/r! |
Ω |
1.4148679131436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792ba1 28896d3 |
Quadratic twists by: -4 8 |