Atkin-Lehner |
2+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904a |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
692352 |
Modular degree for the optimal curve |
Δ |
-385193982986688512 = -1 · 211 · 73 · 13 · 596 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ -1 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,118208,25395872] |
[a1,a2,a3,a4,a6] |
Generators |
[613164:18278731:1728] |
Generators of the group modulo torsion |
j |
89192984077604734/188082999505219 |
j-invariant |
L |
4.4690259951095 |
L(r)(E,1)/r! |
Ω |
0.20829247673574 |
Real period |
R |
5.3638831104291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42952h1 |
Quadratic twists by: -4 |