Atkin-Lehner |
2- 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
81576i |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
588028522752 = 28 · 39 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2511,-31374] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:80:1] [-15:54:1] |
Generators of the group modulo torsion |
j |
347482224/116699 |
j-invariant |
L |
9.5960313452555 |
L(r)(E,1)/r! |
Ω |
0.69269503865692 |
Real period |
R |
3.4632958263087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81576b2 |
Quadratic twists by: -3 |