Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576g |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1651565920256 = -1 · 224 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 5 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13132,582512] |
[a1,a2,a3,a4,a6] |
Generators |
[1722:-1792:27] |
Generators of the group modulo torsion |
j |
-397909449/2624 |
j-invariant |
L |
15.208645684312 |
L(r)(E,1)/r! |
Ω |
0.84675526795526 |
Real period |
R |
1.4967572920064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cb1 4018b1 128576bv1 |
Quadratic twists by: -4 8 -7 |