Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692b |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
6899148796176 = 24 · 39 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4833,-27459] |
[a1,a2,a3,a4,a6] |
j |
39642663168/21907067 |
j-invariant |
L |
1.2261234682982 |
L(r)(E,1)/r! |
Ω |
0.61306173397671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692e1 |
Quadratic twists by: -3 |