Atkin-Lehner |
7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24563h |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-58975763 = -1 · 75 · 112 · 29 |
Discriminant |
Eigenvalues |
0 -1 -2 7- 11- -4 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29,384] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] [-4:20:1] |
Generators of the group modulo torsion |
j |
-23068672/487403 |
j-invariant |
L |
4.9539320232526 |
L(r)(E,1)/r! |
Ω |
1.661269730102 |
Real period |
R |
0.59640309258471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24563b1 |
Quadratic twists by: -11 |