Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14880j |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
252204840000 = 26 · 38 · 54 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1670,-9768] |
[a1,a2,a3,a4,a6] |
Generators |
[84:660:1] |
Generators of the group modulo torsion |
j |
8052916245184/3940700625 |
j-invariant |
L |
4.8509533143267 |
L(r)(E,1)/r! |
Ω |
0.78476421771738 |
Real period |
R |
3.0907075047564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14880r1 29760ce2 44640j1 74400y1 |
Quadratic twists by: -4 8 -3 5 |