Atkin-Lehner |
2- 3+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4416p |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-1802375774208 = -1 · 214 · 314 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11633,-483375] |
[a1,a2,a3,a4,a6] |
j |
-10627137250000/110008287 |
j-invariant |
L |
1.8376614870019 |
L(r)(E,1)/r! |
Ω |
0.22970768587524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416k1 1104b1 13248bl1 110400im1 |
Quadratic twists by: -4 8 -3 5 |