Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224cw |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2550163488768 = -1 · 214 · 33 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-76832] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.74496868993139 |
L(r)(E,1)/r! |
Ω |
0.3724843449659 |
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 |
28224a1 7056bb1 28224cw2 28224dj1 |
Quadratic twists by: -4 8 -3 -7 |