Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
11952f |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
1672897536 = 210 · 39 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6699,-211030] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3780:1] |
Generators of the group modulo torsion |
j |
44537533348/2241 |
j-invariant |
L |
5.7886758494619 |
L(r)(E,1)/r! |
Ω |
0.52771370286279 |
Real period |
R |
2.7423372834829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5976d1 47808bq1 3984a1 |
Quadratic twists by: -4 8 -3 |