Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764n |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4579359446686464 = 28 · 312 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100551,11832590] |
[a1,a2,a3,a4,a6] |
Generators |
[25732:386127:64] |
Generators of the group modulo torsion |
j |
340062928/13851 |
j-invariant |
L |
5.1940684531274 |
L(r)(E,1)/r! |
Ω |
0.43108381169084 |
Real period |
R |
6.0244299558148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920933 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27588c2 684b2 |
Quadratic twists by: -3 -11 |