Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760p |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4.3158602676519E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-603147,-363882314] |
[a1,a2,a3,a4,a6] |
Generators |
[9346:183465:8] |
Generators of the group modulo torsion |
j |
-32506165579682596/57814914850875 |
j-invariant |
L |
5.3884647133055 |
L(r)(E,1)/r! |
Ω |
0.080833883254086 |
Real period |
R |
5.5550804691312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bl3 10920o4 |
Quadratic twists by: -4 -3 |