Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848w |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
42284519424 = 212 · 36 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1289,14391] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:168:1] [-23:180:1] |
Generators of the group modulo torsion |
j |
57870788032/10323369 |
j-invariant |
L |
7.8488930772654 |
L(r)(E,1)/r! |
Ω |
1.0885216282468 |
Real period |
R |
1.2017665173249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848m2 11424a1 68544bn2 |
Quadratic twists by: -4 8 -3 |