Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968r |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1660631448037275648 = -1 · 211 · 326 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54651,-62195146] |
[a1,a2,a3,a4,a6] |
Generators |
[542:8210:1] [5458:118141:8] |
Generators of the group modulo torsion |
j |
-12090954048626/1112284223919 |
j-invariant |
L |
6.3238042886035 |
L(r)(E,1)/r! |
Ω |
0.11770668236637 |
Real period |
R |
53.725108561978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936q3 7656b4 |
Quadratic twists by: -4 -3 |