Atkin-Lehner |
2- 7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674z |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
1391737984 = 27 · 72 · 133 · 101 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -2 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-617,-5671] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:21:1] |
Generators of the group modulo torsion |
j |
530184608737/28402816 |
j-invariant |
L |
8.2466102109532 |
L(r)(E,1)/r! |
Ω |
0.96110415506354 |
Real period |
R |
0.40858809665905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000176284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674m1 |
Quadratic twists by: -7 |