Atkin-Lehner |
2+ 3- 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990p |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.9203274242943E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2882349,-1894553307] |
[a1,a2,a3,a4,a6] |
j |
-3632753777288703591889/26341939976601600 |
j-invariant |
L |
2.0847180296874 |
L(r)(E,1)/r! |
Ω |
0.057908834191883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330bb1 |
Quadratic twists by: -3 |