Atkin-Lehner |
3- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817m |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48896 |
Modular degree for the optimal curve |
Δ |
-8173347 = -1 · 3 · 73 · 132 · 47 |
Discriminant |
Eigenvalues |
2 3- 4 7- 3 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-86,-367] |
[a1,a2,a3,a4,a6] |
j |
-207474688/23829 |
j-invariant |
L |
12.449405945129 |
L(r)(E,1)/r! |
Ω |
0.77808786969373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89817c1 |
Quadratic twists by: -7 |