Atkin-Lehner |
3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54825f |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1202688 |
Modular degree for the optimal curve |
Δ |
-1.0052742944145E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 1 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,522792,-45804933] |
[a1,a2,a3,a4,a6] |
Generators |
[603:-22410:1] |
Generators of the group modulo torsion |
j |
632077674699942338135/402109717765803363 |
j-invariant |
L |
3.8059704587999 |
L(r)(E,1)/r! |
Ω |
0.1314568656021 |
Real period |
R |
0.80422883315752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54825d1 |
Quadratic twists by: 5 |