Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782bf |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-9201487834 = -1 · 2 · 72 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-628,-7455] |
[a1,a2,a3,a4,a6] |
j |
-15438249/5194 |
j-invariant |
L |
0.93783684743517 |
L(r)(E,1)/r! |
Ω |
0.46891842667965 |
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 |
742a1 |
Quadratic twists by: -11 |