Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562n |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-4815385882779157504 = -1 · 210 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,239977,-95290411] |
[a1,a2,a3,a4,a6] |
j |
15925559/50176 |
j-invariant |
L |
1.9930199101277 |
L(r)(E,1)/r! |
Ω |
0.12456374438298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366b1 16562bp1 |
Quadratic twists by: -7 13 |