Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190ci |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
881280 |
Modular degree for the optimal curve |
Δ |
-75688016412996000 = -1 · 25 · 318 · 53 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8681,-13240839] |
[a1,a2,a3,a4,a6] |
Generators |
[1120:36619:1] |
Generators of the group modulo torsion |
j |
-428104115567401/447858085284000 |
j-invariant |
L |
13.439674980306 |
L(r)(E,1)/r! |
Ω |
0.15539579541801 |
Real period |
R |
0.48048186103098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190be1 |
Quadratic twists by: 13 |