Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bb |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10817945600 = 214 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,1265] |
[a1,a2,a3,a4,a6] |
j |
1193895376/660275 |
j-invariant |
L |
2.222365685985 |
L(r)(E,1)/r! |
Ω |
1.1111828429926 |
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 |
24640r2 6160m2 123200fz2 |
Quadratic twists by: -4 8 5 |