Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800s |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
122597061408000000 = 211 · 316 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149608,14520788] |
[a1,a2,a3,a4,a6] |
Generators |
[-406:2916:1] |
Generators of the group modulo torsion |
j |
11572870364354/3831158169 |
j-invariant |
L |
10.738909477981 |
L(r)(E,1)/r! |
Ω |
0.30490596057636 |
Real period |
R |
1.1006374541616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53400e4 4272a3 |
Quadratic twists by: -4 5 |