Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224dg |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1859069183311872 = -1 · 214 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444528,-114095520] |
[a1,a2,a3,a4,a6] |
j |
-5225472 |
j-invariant |
L |
4.6223177522209 |
L(r)(E,1)/r! |
Ω |
0.092446355044426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224g1 7056d1 28224dh1 28224eh1 |
Quadratic twists by: -4 8 -3 -7 |