Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368du |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2850859113254E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46495596,260358935632] |
[a1,a2,a3,a4,a6] |
Generators |
[21362515138048070:1582383601922605056:3578066797375] |
Generators of the group modulo torsion |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
8.931624700856 |
L(r)(E,1)/r! |
Ω |
0.060196324235999 |
Real period |
R |
18.546864809053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368by2 20592bw2 27456ch2 |
Quadratic twists by: -4 8 -3 |