Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bc |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-804880508933329920 = -1 · 210 · 318 · 5 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,55077,-42876538] |
[a1,a2,a3,a4,a6] |
Generators |
[1523:59780:1] |
Generators of the group modulo torsion |
j |
24751815369116/1078211415645 |
j-invariant |
L |
4.8631915266201 |
L(r)(E,1)/r! |
Ω |
0.13564919904393 |
Real period |
R |
4.4814045723234 |
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 |
65520u3 10920e4 |
Quadratic twists by: -4 -3 |