Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190ck |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-185607681153481080 = -1 · 23 · 39 · 5 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58724,19996040] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:2780:1] |
Generators of the group modulo torsion |
j |
27455118431/227535480 |
j-invariant |
L |
13.419891355226 |
L(r)(E,1)/r! |
Ω |
0.23355772617186 |
Real period |
R |
3.1921423968901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986629 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86190bg1 |
Quadratic twists by: 13 |