Atkin-Lehner |
2- 3+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43758k |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
78633554215788 = 22 · 39 · 112 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167510,26426521] |
[a1,a2,a3,a4,a6] |
j |
26409015101734875/3994998436 |
j-invariant |
L |
4.7186263228954 |
L(r)(E,1)/r! |
Ω |
0.58982829035593 |
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 |
43758e2 |
Quadratic twists by: -3 |