Atkin-Lehner |
2+ 3- 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530m |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16439994150000000 = 27 · 3 · 58 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1727069,873433976] |
[a1,a2,a3,a4,a6] |
j |
569708130275192713274569/16439994150000000 |
j-invariant |
L |
0.72777173254656 |
L(r)(E,1)/r! |
Ω |
0.36388586627328 |
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 |
49590cd4 82650bg4 |
Quadratic twists by: -3 5 |