Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4896m |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1370566656 = -1 · 212 · 39 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-17552] |
[a1,a2,a3,a4,a6] |
Generators |
[44:108:1] |
Generators of the group modulo torsion |
j |
-76225024/459 |
j-invariant |
L |
3.855518566212 |
L(r)(E,1)/r! |
Ω |
0.39956870478021 |
Real period |
R |
1.2061500688389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4896k1 9792bk1 1632e1 122400bd1 |
Quadratic twists by: -4 8 -3 5 |