Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bm |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1574335623168 = 212 · 33 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,182447] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:588:1] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
8.8158818445485 |
L(r)(E,1)/r! |
Ω |
0.83306689956277 |
Real period |
R |
0.88187013643422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744t2 103488gl1 1056b2 |
Quadratic twists by: -4 8 -7 |