Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576db |
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] |
Generators |
[-31:20:1] [-29:8:1] |
Generators of the group modulo torsion |
j |
5088448/41 |
j-invariant |
L |
5.7055400060725 |
L(r)(E,1)/r! |
Ω |
0.65608449532854 |
Real period |
R |
4.3481746955764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cx1 64288i1 2624e1 |
Quadratic twists by: -4 8 -7 |