Atkin-Lehner |
5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28435b |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24552 |
Modular degree for the optimal curve |
Δ |
-1259358425875 = -1 · 53 · 118 · 47 |
Discriminant |
Eigenvalues |
0 0 5+ -2 11- -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2662,-10981] |
[a1,a2,a3,a4,a6] |
j |
9732096/5875 |
j-invariant |
L |
0.50079767158188 |
L(r)(E,1)/r! |
Ω |
0.50079767158371 |
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 |
28435a1 |
Quadratic twists by: -11 |