Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dq |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2393811404734464 = 214 · 310 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170076,26894000] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:5616:1] |
Generators of the group modulo torsion |
j |
45551779131472/200420649 |
j-invariant |
L |
5.0319021758714 |
L(r)(E,1)/r! |
Ω |
0.46148776464377 |
Real period |
R |
2.7259131021038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989253 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368bu2 20592n2 27456br2 |
Quadratic twists by: -4 8 -3 |