Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890r |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
3.2175887773925E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3707437554,86888738522628] |
[a1,a2,a3,a4,a6] |
j |
7730680381889320597382223137569/441370202660156250000 |
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 |
12 |
Number of elements in the torsion subgroup |
Twists |
6630w6 99450cr6 |
Quadratic twists by: -3 5 |