Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368cp |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
285305390122401792 = 222 · 39 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-214380,-28270512] |
[a1,a2,a3,a4,a6] |
j |
211176358875/55294096 |
j-invariant |
L |
1.8094809130664 |
L(r)(E,1)/r! |
Ω |
0.22618511395976 |
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 |
82368i2 20592x2 82368cz2 |
Quadratic twists by: -4 8 -3 |