Atkin-Lehner |
2+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16214c |
Isogeny class |
Conductor |
16214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7698056134472 = -1 · 23 · 118 · 672 |
Discriminant |
Eigenvalues |
2+ 0 4 -4 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3305,110853] |
[a1,a2,a3,a4,a6] |
j |
2253243231/4345352 |
j-invariant |
L |
1.0214467611031 |
L(r)(E,1)/r! |
Ω |
0.51072338055157 |
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 |
129712x2 1474a2 |
Quadratic twists by: -4 -11 |