Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cq |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.2602145473279E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2040224,-710231820] |
[a1,a2,a3,a4,a6] |
j |
47504791830313/16490207448 |
j-invariant |
L |
2.0785311180028 |
L(r)(E,1)/r! |
Ω |
0.1299082013611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154w4 6864u3 |
Quadratic twists by: -4 13 |