Atkin-Lehner |
2- 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866p |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44148214918962 = -1 · 2 · 32 · 72 · 114 · 434 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,43,319683] |
[a1,a2,a3,a4,a6] |
Generators |
[7732:88699:64] |
Generators of the group modulo torsion |
j |
8780064047/44148214918962 |
j-invariant |
L |
10.130266718005 |
L(r)(E,1)/r! |
Ω |
0.50823409890436 |
Real period |
R |
4.983071157486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59598g3 |
Quadratic twists by: -3 |