Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224dy |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2550163488768 = -1 · 214 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1764,71344] |
[a1,a2,a3,a4,a6] |
Generators |
[21:343:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
3.2204513440126 |
L(r)(E,1)/r! |
Ω |
0.58035657865234 |
Real period |
R |
1.3872726968525 |
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 |
28224q2 7056h2 28224du2 4032t2 |
Quadratic twists by: -4 8 -3 -7 |