Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bc |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-107147634293760 = -1 · 210 · 3 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11656,-698620] |
[a1,a2,a3,a4,a6] |
j |
-7086244/4335 |
j-invariant |
L |
0.89403936074338 |
L(r)(E,1)/r! |
Ω |
0.22350984366602 |
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 |
34680be1 4080g1 |
Quadratic twists by: -4 17 |