Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344q |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4397245598785536 = 213 · 39 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1510731,714701178] |
[a1,a2,a3,a4,a6] |
j |
4729703265220779/54541802 |
j-invariant |
L |
1.5845847966018 |
L(r)(E,1)/r! |
Ω |
0.39614619915496 |
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 |
5418m2 43344r1 |
Quadratic twists by: -4 -3 |