Atkin-Lehner |
7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86989a |
Isogeny class |
Conductor |
86989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-10351691 = -1 · 72 · 173 · 43 |
Discriminant |
Eigenvalues |
1 3 -3 7+ 6 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14,-157] |
[a1,a2,a3,a4,a6] |
j |
59319/2107 |
j-invariant |
L |
4.3994603552826 |
L(r)(E,1)/r! |
Ω |
1.0998650917139 |
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 |
86989h1 |
Quadratic twists by: 17 |