Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368dx |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3424078614528 = 212 · 312 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75828,8036480] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1485:1] |
Generators of the group modulo torsion |
j |
16148234224576/1146717 |
j-invariant |
L |
7.8859642524968 |
L(r)(E,1)/r! |
Ω |
0.75370883656002 |
Real period |
R |
2.6157197150959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368ev2 41184r1 27456bu2 |
Quadratic twists by: -4 8 -3 |