Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cp |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-8.7796441721599E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,922008,1384578612] |
[a1,a2,a3,a4,a6] |
j |
25943020727/262766592 |
j-invariant |
L |
1.392459861645 |
L(r)(E,1)/r! |
Ω |
0.11603833312036 |
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 |
11154e1 89232cc1 |
Quadratic twists by: -4 13 |