Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512n |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
168140806815744 = 220 · 36 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17624,655344] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:770:1] |
Generators of the group modulo torsion |
j |
147809333462617/41050001664 |
j-invariant |
L |
3.9461231304974 |
L(r)(E,1)/r! |
Ω |
0.53400682615236 |
Real period |
R |
3.6948246138819 |
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 |
2814a2 90048bo2 67536bu2 |
Quadratic twists by: -4 8 -3 |