Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bk |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-18319952250 = -1 · 2 · 310 · 53 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,427,5447] |
[a1,a2,a3,a4,a6] |
j |
11836763639/25130250 |
j-invariant |
L |
3.3971775533642 |
L(r)(E,1)/r! |
Ω |
0.84929434354407 |
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 |
37230p1 |
Quadratic twists by: -3 |