Atkin-Lehner |
2- 3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bl |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-510302276812800000 = -1 · 223 · 39 · 55 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,84172,-33080169] |
[a1,a2,a3,a4,a6] |
j |
90469868794135559/700003123200000 |
j-invariant |
L |
6.7114978664733 |
L(r)(E,1)/r! |
Ω |
0.14590212725189 |
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 |
29670j1 |
Quadratic twists by: -3 |