Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768cl |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.0611817390741E+23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13339564,10296338640] |
[a1,a2,a3,a4,a6] |
Generators |
[1612391809755106423369340:100487898366565957929046365:2424229580323518110144] |
Generators of the group modulo torsion |
j |
8511781274893233/3440817243136 |
j-invariant |
L |
6.9378179144668 |
L(r)(E,1)/r! |
Ω |
0.096062765115193 |
Real period |
R |
36.110858906423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40768m2 10192bf2 5824bd2 |
Quadratic twists by: -4 8 -7 |