Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890r |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1.0394394081225E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-232135074,1352508703380] |
[a1,a2,a3,a4,a6] |
j |
1897660325010178513043539489/14258428094958372000000 |
j-invariant |
L |
0.58103414807624 |
L(r)(E,1)/r! |
Ω |
0.072629268509531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6630w3 99450cr3 |
Quadratic twists by: -3 5 |