Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760be |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27597024000000 = 211 · 36 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7563,-14362] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:376:1] |
Generators of the group modulo torsion |
j |
32044133522/18484375 |
j-invariant |
L |
5.0912877066594 |
L(r)(E,1)/r! |
Ω |
0.55825245889235 |
Real period |
R |
4.5600226434837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520y2 3640f2 |
Quadratic twists by: -4 -3 |