Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
8442c |
Isogeny class |
Conductor |
8442 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
29925451213056 = 28 · 312 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9914,276473] |
[a1,a2,a3,a4,a6] |
j |
147809333462617/41050001664 |
j-invariant |
L |
4.9329437572506 |
L(r)(E,1)/r! |
Ω |
0.61661796965633 |
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 |
67536bu2 2814a2 59094bt2 |
Quadratic twists by: -4 -3 -7 |