Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355n |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1000960 |
Modular degree for the optimal curve |
Δ |
43358692344215625 = 32 · 55 · 13 · 179 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4163051,3269020080] |
[a1,a2,a3,a4,a6] |
j |
67285056301217/365625 |
j-invariant |
L |
1.2804988061068 |
L(r)(E,1)/r! |
Ω |
0.32012470193395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56355g1 |
Quadratic twists by: 17 |