Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450fh |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
31253524849800 = 23 · 36 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8735,164607] |
[a1,a2,a3,a4,a6] |
j |
18865/8 |
j-invariant |
L |
3.572550740816 |
L(r)(E,1)/r! |
Ω |
0.59542512376772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050i1 54450db1 54450bw1 |
Quadratic twists by: -3 5 -11 |