Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cw |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
2774016 = 210 · 32 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-397,2915] |
[a1,a2,a3,a4,a6] |
j |
6774679552/2709 |
j-invariant |
L |
2.5072516379089 |
L(r)(E,1)/r! |
Ω |
2.507251639194 |
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 |
57792k1 14448e1 |
Quadratic twists by: -4 8 |