Atkin-Lehner |
3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275x |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
2076283125 = 37 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -5 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-558,4394] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-1103:1] [-12:97:1] |
Generators of the group modulo torsion |
j |
30798131200/3322053 |
j-invariant |
L |
4.184689204267 |
L(r)(E,1)/r! |
Ω |
1.4242439865423 |
Real period |
R |
0.069956733667735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825bt1 16275k1 113925bl1 |
Quadratic twists by: -3 5 -7 |