Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016d |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
318944256 = 210 · 3 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2992,62000] |
[a1,a2,a3,a4,a6] |
Generators |
[175:2220:1] |
Generators of the group modulo torsion |
j |
27871484/3 |
j-invariant |
L |
8.4152263696515 |
L(r)(E,1)/r! |
Ω |
1.6483296935196 |
Real period |
R |
5.1053053298033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106032e2 53016e2 |
Quadratic twists by: -4 -47 |