Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648d |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
108441982420992 = 211 · 36 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13728,-359136] |
[a1,a2,a3,a4,a6] |
j |
139716342013250/52950186729 |
j-invariant |
L |
2.7319166891907 |
L(r)(E,1)/r! |
Ω |
0.45531944819844 |
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 |
10824h2 86592cs2 64944k2 |
Quadratic twists by: -4 8 -3 |