Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4352723130934886400 = 224 · 36 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-410305,-12690625] |
[a1,a2,a3,a4,a6] |
j |
29141055407581489/16604321025600 |
j-invariant |
L |
2.4481848897331 |
L(r)(E,1)/r! |
Ω |
0.20401540897374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920bs2 18480bm2 |
Quadratic twists by: -4 8 |