Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368bv |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11395333629149184 = 220 · 312 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1482636,-694845200] |
[a1,a2,a3,a4,a6] |
Generators |
[61788:2399320:27] |
Generators of the group modulo torsion |
j |
1886079023633377/59629284 |
j-invariant |
L |
4.5470708185946 |
L(r)(E,1)/r! |
Ω |
0.13681752921917 |
Real period |
R |
8.3086407938297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368dr2 2574j2 27456y2 |
Quadratic twists by: -4 8 -3 |