Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550o |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29160 |
Modular degree for the optimal curve |
Δ |
-43550 = -1 · 2 · 52 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 6 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1268,16851] |
[a1,a2,a3,a4,a6] |
j |
-9019093108585/1742 |
j-invariant |
L |
2.848111606242 |
L(r)(E,1)/r! |
Ω |
2.8481116059557 |
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 |
43550m1 |
Quadratic twists by: 5 |