Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bl |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
17802260411056128 = 230 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1409286315,-20363244021286] |
[a1,a2,a3,a4,a6] |
Generators |
[-10226552104269275339009676124330606345:421743043128277374476939812739266:471835060984680125466230511862177] |
Generators of the group modulo torsion |
j |
103665426767620308239307625/5961940992 |
j-invariant |
L |
5.1826994507511 |
L(r)(E,1)/r! |
Ω |
0.024640513038579 |
Real period |
R |
52.583112237119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394n6 76608ef6 6384q6 |
Quadratic twists by: -4 8 -3 |