Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cl |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.1225942085404E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62209,161291519] |
[a1,a2,a3,a4,a6] |
Generators |
[-385:11328:1] |
Generators of the group modulo torsion |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
7.7393309244233 |
L(r)(E,1)/r! |
Ω |
0.18419317385875 |
Real period |
R |
3.501455728194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22848o2 5712m2 68544ed2 |
Quadratic twists by: -4 8 -3 |