Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2880bb |
Isogeny class |
Conductor |
2880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1719926784000000 = 224 · 38 · 56 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192108,-32347568] |
[a1,a2,a3,a4,a6] |
Generators |
[64720:330372:125] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
3.4325254997179 |
L(r)(E,1)/r! |
Ω |
0.22807119109311 |
Real period |
R |
7.5251185458065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2880n6 720j6 960o6 14400ef6 |
Quadratic twists by: -4 8 -3 5 |