Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848bu |
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 |
[-37:52:1] [-32:33:1] |
Generators of the group modulo torsion |
j |
52767497666/1753941 |
j-invariant |
L |
5.7581196576368 |
L(r)(E,1)/r! |
Ω |
0.60270544692569 |
Real period |
R |
9.5537873218303 |
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 |
22848bi3 5712j3 68544dz3 |
Quadratic twists by: -4 8 -3 |