Atkin-Lehner |
2- 3+ 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
82170bi |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1089307969200 = 24 · 33 · 52 · 114 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7028,222887] |
[a1,a2,a3,a4,a6] |
Generators |
[283:-4707:1] |
Generators of the group modulo torsion |
j |
1421665002602307/40344739600 |
j-invariant |
L |
9.0135365608355 |
L(r)(E,1)/r! |
Ω |
0.86859706365428 |
Real period |
R |
0.32428502150927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82170f2 |
Quadratic twists by: -3 |