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 |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
18856240128 = 210 · 35 · 11 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112,12288] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:144:1] |
Generators of the group modulo torsion |
j |
148637575012/18414297 |
j-invariant |
L |
7.6879802523483 |
L(r)(E,1)/r! |
Ω |
1.1799321260834 |
Real period |
R |
1.3031224563513 |
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 |
43824g1 65736j1 |
Quadratic twists by: -4 -3 |