Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760b |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.6497536287096E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89031123,-323210414322] |
[a1,a2,a3,a4,a6] |
Generators |
[30886279054555896139500719301974:2987362983348345982713831405730144:1915874756866894689612269459] |
Generators of the group modulo torsion |
j |
1936101054887046531846/905403781953125 |
j-invariant |
L |
4.9064847441063 |
L(r)(E,1)/r! |
Ω |
0.049150312236776 |
Real period |
R |
49.913057728605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520d2 32760y2 |
Quadratic twists by: -4 -3 |