Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576t |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
84345856 = 210 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -3 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:13:1] [16:41:1] |
Generators of the group modulo torsion |
j |
3937024/1681 |
j-invariant |
L |
8.8495731260256 |
L(r)(E,1)/r! |
Ω |
1.4948879091492 |
Real period |
R |
2.9599453836953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999936375 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576ch1 8036d1 128576i1 |
Quadratic twists by: -4 8 -7 |