Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792bs |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
27768501112943808 = 26 · 36 · 712 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81012,3779442] |
[a1,a2,a3,a4,a6] |
j |
918749595971305792/433882829889747 |
j-invariant |
L |
6.0142209501003 |
L(r)(E,1)/r! |
Ω |
0.33412338620354 |
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 |
57792f1 28896l3 |
Quadratic twists by: -4 8 |