Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372bi |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-8380438928499456 = -1 · 28 · 32 · 73 · 139 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50475,-573273] |
[a1,a2,a3,a4,a6] |
j |
33554432/19773 |
j-invariant |
L |
1.9415936779535 |
L(r)(E,1)/r! |
Ω |
0.24269919815371 |
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 |
99372m1 7644i1 |
Quadratic twists by: -7 13 |