Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352v |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
632400981037056 = 212 · 312 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21684,215840] |
[a1,a2,a3,a4,a6] |
j |
377619516352/211789809 |
j-invariant |
L |
1.7728669864215 |
L(r)(E,1)/r! |
Ω |
0.44321674666449 |
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 |
44352cm2 22176p1 14784j2 |
Quadratic twists by: -4 8 -3 |