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 |
1083268903120994304 = 216 · 314 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257196,-3598000] |
[a1,a2,a3,a4,a6] |
Generators |
[6061:470205:1] |
Generators of the group modulo torsion |
j |
39383007958948/22674035241 |
j-invariant |
L |
5.0319021758714 |
L(r)(E,1)/r! |
Ω |
0.23074388232189 |
Real period |
R |
5.4518262042075 |
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 |
82368bu4 20592n3 27456br4 |
Quadratic twists by: -4 8 -3 |