Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848cx |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
812201049096192 = 215 · 36 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23329,23327] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1176:1] |
Generators of the group modulo torsion |
j |
42852953779784/24786408969 |
j-invariant |
L |
6.2211690274008 |
L(r)(E,1)/r! |
Ω |
0.42560779049648 |
Real period |
R |
0.20301584536263 |
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 |
22848by2 11424e2 68544ek2 |
Quadratic twists by: -4 8 -3 |