Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bn |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65548320768 = 218 · 36 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21420,1206576] |
[a1,a2,a3,a4,a6] |
Generators |
[70:224:1] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
5.7794176277825 |
L(r)(E,1)/r! |
Ω |
1.0441076544416 |
Real period |
R |
0.69190873220748 |
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 |
28224fg2 441d2 3136d2 28224bn4 |
Quadratic twists by: -4 8 -3 -7 |