Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560by |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8885168640000 = 212 · 38 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5187,-10366] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:270:1] [-47:360:1] |
Generators of the group modulo torsion |
j |
5168743489/2975625 |
j-invariant |
L |
6.6427673725154 |
L(r)(E,1)/r! |
Ω |
0.61227187520358 |
Real period |
R |
1.3561719151127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1035f2 66240eq2 5520p2 82800er2 |
Quadratic twists by: -4 8 -3 5 |