Atkin-Lehner |
2+ 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41496b |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1291438512 = -1 · 24 · 33 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-567,-5292] |
[a1,a2,a3,a4,a6] |
j |
-1262172264448/80714907 |
j-invariant |
L |
1.9492486059701 |
L(r)(E,1)/r! |
Ω |
0.48731215148687 |
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 |
82992v1 124488bh1 |
Quadratic twists by: -4 -3 |