Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224co |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.3066328372256E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20081964,-34815229904] |
[a1,a2,a3,a4,a6] |
Generators |
[100059388:27384630624:1331] |
Generators of the group modulo torsion |
j |
-16591834777/98304 |
j-invariant |
L |
3.9897691008693 |
L(r)(E,1)/r! |
Ω |
0.035646278935419 |
Real period |
R |
13.990833054754 |
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 |
28224gi2 882j2 9408bk2 28224be2 |
Quadratic twists by: -4 8 -3 -7 |