Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bz |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18647473065984 = 212 · 38 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10969,394009] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:784:1] |
Generators of the group modulo torsion |
j |
35637273157312/4552605729 |
j-invariant |
L |
2.8566031711785 |
L(r)(E,1)/r! |
Ω |
0.66347049283396 |
Real period |
R |
2.1527733350859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22848cy2 11424u1 68544dn2 |
Quadratic twists by: -4 8 -3 |