Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cx |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
19757502464 = 212 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2809,57849] |
[a1,a2,a3,a4,a6] |
j |
5088448/41 |
j-invariant |
L |
2.4481846159913 |
L(r)(E,1)/r! |
Ω |
1.2240930546054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576db1 64288j1 2624f1 |
Quadratic twists by: -4 8 -7 |