Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dp |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3594645412996644864 = -1 · 216 · 39 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93876,-90544880] |
[a1,a2,a3,a4,a6] |
Generators |
[56410945:2726831025:24389] |
Generators of the group modulo torsion |
j |
1915049403068/75239967231 |
j-invariant |
L |
6.4759874875103 |
L(r)(E,1)/r! |
Ω |
0.11993178866513 |
Real period |
R |
13.499313983884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368bs3 20592o4 27456cg3 |
Quadratic twists by: -4 8 -3 |