Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ck |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9836344885248 = -1 · 214 · 36 · 77 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1764,148176] |
[a1,a2,a3,a4,a6] |
Generators |
[21:441:1] |
Generators of the group modulo torsion |
j |
432/7 |
j-invariant |
L |
4.1681418231227 |
L(r)(E,1)/r! |
Ω |
0.53978293833184 |
Real period |
R |
0.96523563619944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224gd1 3528k1 3136e1 4032g1 |
Quadratic twists by: -4 8 -3 -7 |