Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fw |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1416433663475712 = -1 · 218 · 38 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27636,389648] |
[a1,a2,a3,a4,a6] |
j |
103823/63 |
j-invariant |
L |
1.1794884996524 |
L(r)(E,1)/r! |
Ω |
0.29487212491333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224bz1 7056bx1 9408cd1 4032bm1 |
Quadratic twists by: -4 8 -3 -7 |