Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880u |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8414640640000 = 212 · 54 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5668,86592] |
[a1,a2,a3,a4,a6] |
j |
4916468816064/2054355625 |
j-invariant |
L |
1.33036540948 |
L(r)(E,1)/r! |
Ω |
0.66518269755044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82880bb2 41440h1 |
Quadratic twists by: -4 8 |