Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450di |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
800090236154880000 = 213 · 36 · 54 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5908392,-5526152384] |
[a1,a2,a3,a4,a6] |
j |
233551483825/8192 |
j-invariant |
L |
1.7430331406795 |
L(r)(E,1)/r! |
Ω |
0.096835174585794 |
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 |
6050bk1 54450fz1 54450hf1 |
Quadratic twists by: -3 5 -11 |