Atkin-Lehner |
5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39715n |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-12460286763275 = -1 · 52 · 139 · 47 |
Discriminant |
Eigenvalues |
0 1 5- 0 1 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1465,-167969] |
[a1,a2,a3,a4,a6] |
j |
32768/1175 |
j-invariant |
L |
1.3696964579951 |
L(r)(E,1)/r! |
Ω |
0.34242411449444 |
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 |
39715e1 |
Quadratic twists by: 13 |