Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368bv |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1475697180672 = 219 · 39 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23721996,-44470801424] |
[a1,a2,a3,a4,a6] |
Generators |
[-66475323314330:3465108261:23639903000] |
Generators of the group modulo torsion |
j |
7725203825376001537/7722 |
j-invariant |
L |
4.5470708185946 |
L(r)(E,1)/r! |
Ω |
0.068408764609586 |
Real period |
R |
16.617281587659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368dr4 2574j3 27456y4 |
Quadratic twists by: -4 8 -3 |