Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344be |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-443865062946816 = -1 · 211 · 36 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6256,-993504] |
[a1,a2,a3,a4,a6] |
j |
112363774/1842183 |
j-invariant |
L |
3.0945328323616 |
L(r)(E,1)/r! |
Ω |
0.25787773603013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688o2 67032x2 3192l2 |
Quadratic twists by: -4 -3 -7 |