Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820t |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-90675936000 = -1 · 28 · 36 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 4 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-14524] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1170:1] |
Generators of the group modulo torsion |
j |
-4194304/485875 |
j-invariant |
L |
8.1499680011077 |
L(r)(E,1)/r! |
Ω |
0.47558166533094 |
Real period |
R |
0.4760233973104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5980a1 |
Quadratic twists by: -3 |