Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204j |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8156160 |
Modular degree for the optimal curve |
Δ |
6.6118401754825E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-626450880,6035017833821] |
[a1,a2,a3,a4,a6] |
Generators |
[94729723781:48386038286:6539203] |
Generators of the group modulo torsion |
j |
2330973155822278820233216000/566858725607210517 |
j-invariant |
L |
5.875971926364 |
L(r)(E,1)/r! |
Ω |
0.10632136903376 |
Real period |
R |
13.816535612169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068b1 |
Quadratic twists by: -3 |