Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880dd |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5658206400000000 = 212 · 38 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240348,45208672] |
[a1,a2,a3,a4,a6] |
j |
514230431000896/1894921875 |
j-invariant |
L |
3.4347971705188 |
L(r)(E,1)/r! |
Ω |
0.42934961195763 |
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 |
110880bc3 36960ba3 |
Quadratic twists by: -4 -3 |