Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cq |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2095835197347201024 = 218 · 34 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-850464,293449716] |
[a1,a2,a3,a4,a6] |
j |
3440899317673/106007616 |
j-invariant |
L |
2.0785311180028 |
L(r)(E,1)/r! |
Ω |
0.2598164027222 |
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 |
11154w2 6864u2 |
Quadratic twists by: -4 13 |