Atkin-Lehner |
2+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2752a |
Isogeny class |
Conductor |
2752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-704512 = -1 · 214 · 43 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -1 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,32] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
27648/43 |
j-invariant |
L |
3.3756151321165 |
L(r)(E,1)/r! |
Ω |
1.9463729059847 |
Real period |
R |
1.7343105844399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2752e1 344a1 24768r1 68800ba1 |
Quadratic twists by: -4 8 -3 5 |