Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cr |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60503943333562500 = 22 · 3 · 56 · 199 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3862888,2921896892] |
[a1,a2,a3,a4,a6] |
j |
8671983378625/82308 |
j-invariant |
L |
5.699007207477 |
L(r)(E,1)/r! |
Ω |
0.31661151141676 |
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 |
2166b3 2850e3 |
Quadratic twists by: 5 -19 |