Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232ci |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
10063872 |
Modular degree for the optimal curve |
Δ |
-3.4714764499948E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28551480,67742133876] |
[a1,a2,a3,a4,a6] |
j |
4558438520831/6147814464 |
j-invariant |
L |
3.4167785942444 |
L(r)(E,1)/r! |
Ω |
0.053387165594055 |
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 |
11154a1 89232bw1 |
Quadratic twists by: -4 13 |