Atkin-Lehner |
2+ 3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042j |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
183227051074342338 = 2 · 36 · 710 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153216,-10388570] |
[a1,a2,a3,a4,a6] |
j |
545644947830040577/251340262104722 |
j-invariant |
L |
1.0086534283504 |
L(r)(E,1)/r! |
Ω |
0.25216336973041 |
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 |
9338i2 |
Quadratic twists by: -3 |