Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054q |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-16610895684144 = -1 · 24 · 36 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,274,196013] |
[a1,a2,a3,a4,a6] |
j |
3131359847/22785865136 |
j-invariant |
L |
4.3783158641817 |
L(r)(E,1)/r! |
Ω |
0.54728948302271 |
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 |
2006c1 |
Quadratic twists by: -3 |