Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224db |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-3718138366623744 = -1 · 215 · 39 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 5 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37044,-1037232] |
[a1,a2,a3,a4,a6] |
j |
1512 |
j-invariant |
L |
3.0253368648301 |
L(r)(E,1)/r! |
Ω |
0.25211140540252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224dc1 14112b1 28224df1 28224ed1 |
Quadratic twists by: -4 8 -3 -7 |