Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bm |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10259583296256 = 28 · 316 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43959,3544130] |
[a1,a2,a3,a4,a6] |
Generators |
[70:900:1] |
Generators of the group modulo torsion |
j |
50338425969232/54974619 |
j-invariant |
L |
5.207290346288 |
L(r)(E,1)/r! |
Ω |
0.72035905471506 |
Real period |
R |
3.6143714111762 |
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 |
4788e2 76608ei2 6384r2 |
Quadratic twists by: -4 8 -3 |