Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992u |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.1768541704097E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-555437752,-5038313691620] |
[a1,a2,a3,a4,a6] |
Generators |
[3665080181816538621973088656333024233762446901410435045:478347815372964195151846847511410525293164379553503330200:101205166361081954857079041026578572163397861333353] |
Generators of the group modulo torsion |
j |
157304700372188331121828/18069292138401 |
j-invariant |
L |
4.8513672770804 |
L(r)(E,1)/r! |
Ω |
0.031098590735166 |
Real period |
R |
77.999792955159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39984o2 59976s2 2856h2 |
Quadratic twists by: -4 -3 -7 |