Atkin-Lehner |
2- 3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170bv |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4169735908593750 = 2 · 312 · 58 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42773,1403831] |
[a1,a2,a3,a4,a6] |
Generators |
[19614:957815:8] |
Generators of the group modulo torsion |
j |
11871232208215561/5719802343750 |
j-invariant |
L |
8.2371520445342 |
L(r)(E,1)/r! |
Ω |
0.39029459802144 |
Real period |
R |
5.2762401052384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27390i2 |
Quadratic twists by: -3 |