Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368g |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-21049307136 = -1 · 212 · 33 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276,-7200] |
[a1,a2,a3,a4,a6] |
j |
-21024576/190333 |
j-invariant |
L |
2.0500013476289 |
L(r)(E,1)/r! |
Ω |
0.51250035409339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368l2 41184v1 82368k2 |
Quadratic twists by: -4 8 -3 |