Atkin-Lehner |
2- 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13110bi |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1254094471800 = -1 · 23 · 315 · 52 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2564,20360] |
[a1,a2,a3,a4,a6] |
j |
1864091337486911/1254094471800 |
j-invariant |
L |
5.4191763563122 |
L(r)(E,1)/r! |
Ω |
0.54191763563122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104880bh1 39330bb1 65550l1 |
Quadratic twists by: -4 -3 5 |