Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640ba |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
166232879267840000 = 222 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140108,-4760432] |
[a1,a2,a3,a4,a6] |
j |
1160306142246441/634128110000 |
j-invariant |
L |
1.0541084259928 |
L(r)(E,1)/r! |
Ω |
0.26352710649823 |
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 |
24640m3 6160j3 123200fg3 |
Quadratic twists by: -4 8 5 |