Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890u |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3267290520 = -1 · 23 · 37 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-220658,39950921] |
[a1,a2,a3,a4,a6] |
j |
-1629871520330191321/4481880 |
j-invariant |
L |
3.7329268071848 |
L(r)(E,1)/r! |
Ω |
0.93323170179621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6630m2 99450ba2 |
Quadratic twists by: -3 5 |