Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864a |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-1847296 = -1 · 212 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 -5 11+ -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
592704/451 |
j-invariant |
L |
3.9891306042461 |
L(r)(E,1)/r! |
Ω |
1.4734472379618 |
Real period |
R |
1.353672700817 |
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 |
28864e1 14432f1 |
Quadratic twists by: -4 8 |