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 |
-3.8883134283993E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-960204,-1015494032] |
[a1,a2,a3,a4,a6] |
Generators |
[283612971308920:-44567021970086148:11466731375] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
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 |
28224fw5 441c6 9408bj6 4032h6 |
Quadratic twists by: -4 8 -3 -7 |