Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016b |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-183223296 = -1 · 210 · 34 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 1 -4 4 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,2592] |
[a1,a2,a3,a4,a6] |
Generators |
[12:12:1] |
Generators of the group modulo torsion |
j |
-2287396/81 |
j-invariant |
L |
7.5151871341716 |
L(r)(E,1)/r! |
Ω |
1.788096070837 |
Real period |
R |
0.52536237123061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032c1 53016c1 |
Quadratic twists by: -4 -47 |