Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dp |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-4265451754200000 = -1 · 26 · 314 · 55 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39712,761667] |
[a1,a2,a3,a4,a6] |
j |
27699861384593/17058600000 |
j-invariant |
L |
3.2415547748876 |
L(r)(E,1)/r! |
Ω |
0.27012956443751 |
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 |
19110e1 57330fa1 |
Quadratic twists by: -3 -7 |