Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24804d |
Isogeny class |
Conductor |
24804 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
34500677328 = 24 · 310 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3000,-62611] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1944:1] |
Generators of the group modulo torsion |
j |
256000000000/2957877 |
j-invariant |
L |
3.9681574322779 |
L(r)(E,1)/r! |
Ω |
0.64553908636802 |
Real period |
R |
3.0735222049867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216z1 8268b1 |
Quadratic twists by: -4 -3 |