Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550x |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
455914062500 = 22 · 59 · 13 · 672 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1963,7917] |
[a1,a2,a3,a4,a6] |
j |
53540005609/29178500 |
j-invariant |
L |
3.267031570959 |
L(r)(E,1)/r! |
Ω |
0.81675789279489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710a1 |
Quadratic twists by: 5 |