Atkin-Lehner |
2- 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592p |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-4753824768 = -1 · 210 · 33 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,-3332] |
[a1,a2,a3,a4,a6] |
Generators |
[77:672:1] |
Generators of the group modulo torsion |
j |
18629852/4642407 |
j-invariant |
L |
4.4945849488181 |
L(r)(E,1)/r! |
Ω |
0.64503404170841 |
Real period |
R |
3.4839905014502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184bg1 |
Quadratic twists by: -4 |