Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bz |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3305011881443328 = 218 · 37 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22128204,-40065204368] |
[a1,a2,a3,a4,a6] |
Generators |
[-464174335188230920:1522983329457948:170907675412375] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
6.625070588291 |
L(r)(E,1)/r! |
Ω |
0.069608618270951 |
Real period |
R |
23.794002642399 |
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 |
28224fw6 441c5 9408bj5 4032h5 |
Quadratic twists by: -4 8 -3 -7 |