Atkin-Lehner |
5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
24475b |
Isogeny class |
Conductor |
24475 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-15296875 = -1 · 56 · 11 · 89 |
Discriminant |
Eigenvalues |
0 -2 5+ 0 11+ 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17,-181] |
[a1,a2,a3,a4,a6] |
j |
32768/979 |
j-invariant |
L |
1.0676684432542 |
L(r)(E,1)/r! |
Ω |
1.0676684432542 |
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 |
979a1 |
Quadratic twists by: 5 |