Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680be |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
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 |
1.1012361646774 |
L(r)(E,1)/r! |
Ω |
0.55061808234049 |
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 |
69360bc1 104040ba1 2040o1 |
Quadratic twists by: -4 -3 17 |