Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016l |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-517402335792 = -1 · 24 · 3 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1473,-27408] |
[a1,a2,a3,a4,a6] |
Generators |
[7193225:-154685567:15625] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
6.0318244437125 |
L(r)(E,1)/r! |
Ω |
0.49178392234462 |
Real period |
R |
12.265192434291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032n1 24a4 |
Quadratic twists by: -4 -47 |