Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700f |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-42978924000000 = -1 · 28 · 37 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1133,316137] |
[a1,a2,a3,a4,a6] |
j |
-8192/2187 |
j-invariant |
L |
1.0452400830073 |
L(r)(E,1)/r! |
Ω |
0.52262007045528 |
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 |
3468e1 86700bk1 |
Quadratic twists by: 5 17 |