Atkin-Lehner |
2+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16928a |
Isogeny class |
Conductor |
16928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7377521301352448 = 212 · 239 |
Discriminant |
Eigenvalues |
2+ 0 4 0 0 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48668,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
3.1776338302829 |
L(r)(E,1)/r! |
Ω |
0.35307042558699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16928a2 33856bd1 16928b2 |
Quadratic twists by: -4 8 -23 |