Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562o |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-2106731323715881408 = -1 · 26 · 79 · 138 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,49514,69725076] |
[a1,a2,a3,a4,a6] |
j |
68921/10816 |
j-invariant |
L |
0.40218546321508 |
L(r)(E,1)/r! |
Ω |
0.20109273160754 |
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 |
16562q1 1274m1 |
Quadratic twists by: -7 13 |