Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450cu |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-4719990234375000 = -1 · 23 · 37 · 513 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317255,-68779753] |
[a1,a2,a3,a4,a6] |
j |
-310027558782241/414375000 |
j-invariant |
L |
2.413759137545 |
L(r)(E,1)/r! |
Ω |
0.10057331114744 |
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 |
33150p1 19890j1 |
Quadratic twists by: -3 5 |