Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21216m |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
1654848 = 26 · 32 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
131096512/25857 |
j-invariant |
L |
7.1281704057791 |
L(r)(E,1)/r! |
Ω |
2.5250361034114 |
Real period |
R |
1.4114987100875 |
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 |
21216a1 42432h1 63648h1 |
Quadratic twists by: -4 8 -3 |