Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bz |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1032580140673794048 = 218 · 314 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1101324,442162672] |
[a1,a2,a3,a4,a6] |
Generators |
[494:4320:1] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
6.625070588291 |
L(r)(E,1)/r! |
Ω |
0.27843447308381 |
Real period |
R |
2.9742503302998 |
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 |
28224fw3 441c4 9408bj3 4032h3 |
Quadratic twists by: -4 8 -3 -7 |