Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21440v |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-10977280 = -1 · 215 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 5 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-159] |
[a1,a2,a3,a4,a6] |
Generators |
[39:240:1] |
Generators of the group modulo torsion |
j |
-8/335 |
j-invariant |
L |
6.3285530220802 |
L(r)(E,1)/r! |
Ω |
1.0381427827353 |
Real period |
R |
3.0480166732969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440r1 10720a1 107200cf1 |
Quadratic twists by: -4 8 5 |