Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cd |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-135382695886703250 = -1 · 2 · 39 · 53 · 317 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21442,-17666769] |
[a1,a2,a3,a4,a6] |
j |
1685159/209250 |
j-invariant |
L |
2.4850637300672 |
L(r)(E,1)/r! |
Ω |
0.15531647782644 |
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 |
28830i1 2790v1 |
Quadratic twists by: -3 -31 |