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 |
8792695701504 = 216 · 38 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,-20720] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:320:1] [-43:351:1] |
Generators of the group modulo torsion |
j |
324730948/184041 |
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 |
82368ck2 20592i2 27456cm2 |
Quadratic twists by: -4 8 -3 |