Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bw |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3253371070795776 = 212 · 39 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-448644,115632160] |
[a1,a2,a3,a4,a6] |
Generators |
[317:2295:1] |
Generators of the group modulo torsion |
j |
82881856/27 |
j-invariant |
L |
6.1111688027309 |
L(r)(E,1)/r! |
Ω |
0.43854246778128 |
Real period |
R |
3.4837953286766 |
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 |
28224bt2 14112cc1 9408bh2 28224ch2 |
Quadratic twists by: -4 8 -3 -7 |