Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792bu |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
2022257664 = 210 · 38 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-509,-4029] |
[a1,a2,a3,a4,a6] |
j |
14270199808/1974861 |
j-invariant |
L |
4.0567712790383 |
L(r)(E,1)/r! |
Ω |
1.014192819827 |
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 |
57792ca1 7224h1 |
Quadratic twists by: -4 8 |