Atkin-Lehner |
7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563b |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-104479161676043 = -1 · 75 · 118 · 29 |
Discriminant |
Eigenvalues |
0 -1 -2 7+ 11- 4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3549,-497289] |
[a1,a2,a3,a4,a6] |
j |
-23068672/487403 |
j-invariant |
L |
1.0295085385614 |
L(r)(E,1)/r! |
Ω |
0.25737713464038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24563h1 |
Quadratic twists by: -11 |