Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56355p |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-102020452574625 = -1 · 32 · 53 · 13 · 178 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 1 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11566,681221] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1039:1] |
Generators of the group modulo torsion |
j |
-24529249/14625 |
j-invariant |
L |
5.5466686456244 |
L(r)(E,1)/r! |
Ω |
0.55334359938691 |
Real period |
R |
5.0119569936643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56355h1 |
Quadratic twists by: 17 |