Atkin-Lehner |
2- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120bl |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
544790438720000000 = 212 · 57 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 4 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361652,-75805696] |
[a1,a2,a3,a4,a6] |
j |
1277133737601594816/133005478203125 |
j-invariant |
L |
2.7438966985331 |
L(r)(E,1)/r! |
Ω |
0.19599256759785 |
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 |
109120bo2 54560b1 |
Quadratic twists by: -4 8 |