Atkin-Lehner |
2- 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5694f |
Isogeny class |
Conductor |
5694 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28795816374 = 2 · 3 · 132 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5519,-158061] |
[a1,a2,a3,a4,a6] |
j |
18591302291696497/28795816374 |
j-invariant |
L |
4.431639588227 |
L(r)(E,1)/r! |
Ω |
0.55395494852837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45552i4 17082d3 74022k4 |
Quadratic twists by: -4 -3 13 |