Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bq |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-465670176768 = -1 · 216 · 39 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1620,-21168] |
[a1,a2,a3,a4,a6] |
Generators |
[208:3052:1] |
Generators of the group modulo torsion |
j |
364500/361 |
j-invariant |
L |
4.8314383063472 |
L(r)(E,1)/r! |
Ω |
0.5095235592862 |
Real period |
R |
4.7411333767526 |
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 |
10944b2 2736b2 10944br2 |
Quadratic twists by: -4 8 -3 |