Atkin-Lehner |
3- 11- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89001i |
Isogeny class |
Conductor |
89001 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5.553454347936E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,832936,207013340] |
[a1,a2,a3,a4,a6] |
j |
87666076781054819783/76179071988148833 |
j-invariant |
L |
1.5501091965751 |
L(r)(E,1)/r! |
Ω |
0.12917577085379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29667c3 |
Quadratic twists by: -3 |