Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368p |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6115084664832 = 216 · 33 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7692,-230800] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:156:1] |
Generators of the group modulo torsion |
j |
28444469868/3455881 |
j-invariant |
L |
4.1900623154967 |
L(r)(E,1)/r! |
Ω |
0.51384461712451 |
Real period |
R |
1.019292160736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368cy2 10296a2 82368h2 |
Quadratic twists by: -4 8 -3 |