Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21912d |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1214523611136 = 211 · 310 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4432,-101920] |
[a1,a2,a3,a4,a6] |
Generators |
[83:330:1] |
Generators of the group modulo torsion |
j |
4702090698146/593029107 |
j-invariant |
L |
7.6879802523483 |
L(r)(E,1)/r! |
Ω |
0.58996606304171 |
Real period |
R |
2.6062449127026 |
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 |
43824g2 65736j2 |
Quadratic twists by: -4 -3 |