Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450bf |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-1.3751550933912E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5608917,-7612661259] |
[a1,a2,a3,a4,a6] |
j |
-726572699/512000 |
j-invariant |
L |
1.5223072108377 |
L(r)(E,1)/r! |
Ω |
0.047572100345655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6050x1 10890bw1 54450ex1 |
Quadratic twists by: -3 5 -11 |