Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bi |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
229892554752 = 217 · 3 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3969,92127] |
[a1,a2,a3,a4,a6] |
Generators |
[22782:660365:27] |
Generators of the group modulo torsion |
j |
52767497666/1753941 |
j-invariant |
L |
6.0274500603459 |
L(r)(E,1)/r! |
Ω |
0.98671905280542 |
Real period |
R |
6.1085777589971 |
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 |
22848bu3 2856f4 68544cm3 |
Quadratic twists by: -4 8 -3 |