Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
51744bi |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6.065476487866E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80091888,273303648540] |
[a1,a2,a3,a4,a6] |
Generators |
[1626:4055877:8] |
Generators of the group modulo torsion |
j |
943259332190261813000/10069472554261659 |
j-invariant |
L |
7.2773843009988 |
L(r)(E,1)/r! |
Ω |
0.091941827642666 |
Real period |
R |
6.5960043138059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51744ca2 103488bn2 7392a2 |
Quadratic twists by: -4 8 -7 |