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 |
7711694390034432 = 218 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1049580,-413855568] |
[a1,a2,a3,a4,a6] |
Generators |
[2454:108576:1] |
Generators of the group modulo torsion |
j |
16581375 |
j-invariant |
L |
5.7794176277825 |
L(r)(E,1)/r! |
Ω |
0.1491582363488 |
Real period |
R |
4.8433611254524 |
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 |
28224fg4 441d4 3136d4 28224bn2 |
Quadratic twists by: -4 8 -3 -7 |