Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224en |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.0839726868124E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -5 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3980172,-3170971888] |
[a1,a2,a3,a4,a6] |
Generators |
[28322:4754176:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
5.6348441921323 |
L(r)(E,1)/r! |
Ω |
0.053305574978933 |
Real period |
R |
4.4045144389676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224x2 7056bk2 9408bp2 28224fo2 |
Quadratic twists by: -4 8 -3 -7 |