Atkin-Lehner |
2- 5- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bn |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-50303093750000 = -1 · 24 · 59 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8445,-167053] |
[a1,a2,a3,a4,a6] |
j |
34106789907/25755184 |
j-invariant |
L |
1.4164482904 |
L(r)(E,1)/r! |
Ω |
0.3541120916556 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86450s1 |
Quadratic twists by: 5 |