Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744ct |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2629856097792 = 29 · 34 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,95864] |
[a1,a2,a3,a4,a6] |
Generators |
[2:294:1] |
Generators of the group modulo torsion |
j |
193100552/43659 |
j-invariant |
L |
4.7974501558037 |
L(r)(E,1)/r! |
Ω |
0.76341108982297 |
Real period |
R |
0.78552863256732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744n2 103488bj2 7392m2 |
Quadratic twists by: -4 8 -7 |