Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848ck |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
55931904 = 210 · 33 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229,1211] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:51:1] |
Generators of the group modulo torsion |
j |
1302642688/54621 |
j-invariant |
L |
5.3600674253484 |
L(r)(E,1)/r! |
Ω |
1.9668915157177 |
Real period |
R |
0.9083821489417 |
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 |
22848l1 5712k1 68544dy1 |
Quadratic twists by: -4 8 -3 |