Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880u |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
174733424230400 = 215 · 52 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42668,-3332208] |
[a1,a2,a3,a4,a6] |
j |
262168576768008/5332440925 |
j-invariant |
L |
1.33036540948 |
L(r)(E,1)/r! |
Ω |
0.33259134877522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880bb3 41440h3 |
Quadratic twists by: -4 8 |