Atkin-Lehner |
2+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28864d |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-461824 = -1 · 210 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 11+ -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-43] |
[a1,a2,a3,a4,a6] |
j |
-1048576/451 |
j-invariant |
L |
2.1758471227713 |
L(r)(E,1)/r! |
Ω |
1.0879235613851 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864x1 1804b1 |
Quadratic twists by: -4 8 |