Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368ei |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
90058519609344 = 217 · 37 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52716,4636240] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:2704:1] [-102:2992:1] |
Generators of the group modulo torsion |
j |
169556172914/942513 |
j-invariant |
L |
10.084257616319 |
L(r)(E,1)/r! |
Ω |
0.60676569968376 |
Real period |
R |
4.1549224114221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999263 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368ck3 20592i4 27456cm3 |
Quadratic twists by: -4 8 -3 |