Atkin-Lehner |
2+ 5+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150h |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
105051415908800 = 26 · 52 · 235 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5+ -5 5 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18156,800618] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:1177:1] |
Generators of the group modulo torsion |
j |
26473407211658785/4202056636352 |
j-invariant |
L |
2.8648501420841 |
L(r)(E,1)/r! |
Ω |
0.57004071434253 |
Real period |
R |
0.25128469862805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998600223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150ba1 |
Quadratic twists by: 5 |