Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cb |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
4195200 |
Modular degree for the optimal curve |
Δ |
-5676601230974700000 = -1 · 25 · 319 · 55 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 1 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6122035,-5833990063] |
[a1,a2,a3,a4,a6] |
j |
-150149688795910040658889/33589356396300000 |
j-invariant |
L |
2.3994393005361 |
L(r)(E,1)/r! |
Ω |
0.047988787625063 |
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 |
86190e1 |
Quadratic twists by: 13 |