Atkin-Lehner |
2+ 3- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190bj |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
561600 |
Modular degree for the optimal curve |
Δ |
-842445902112750 = -1 · 2 · 35 · 53 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28058,-2287582] |
[a1,a2,a3,a4,a6] |
j |
-2994503161/1032750 |
j-invariant |
L |
2.7192949496476 |
L(r)(E,1)/r! |
Ω |
0.18128633616418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190cm1 |
Quadratic twists by: 13 |