Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640ba |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
487413356953600 = 226 · 52 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83788,9274512] |
[a1,a2,a3,a4,a6] |
j |
248158561089321/1859334400 |
j-invariant |
L |
1.0541084259928 |
L(r)(E,1)/r! |
Ω |
0.52705421299647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24640m2 6160j2 123200fg2 |
Quadratic twists by: -4 8 5 |