Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016f |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
717624576 = 28 · 33 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 -5 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36409,2661899] |
[a1,a2,a3,a4,a6] |
Generators |
[125:282:1] |
Generators of the group modulo torsion |
j |
200829891584/27 |
j-invariant |
L |
7.6697492987435 |
L(r)(E,1)/r! |
Ω |
1.2502987208448 |
Real period |
R |
0.25559722818016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032h1 53016g1 |
Quadratic twists by: -4 -47 |