Atkin-Lehner |
2+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728g |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-53616348829888 = -1 · 26 · 139 · 79 |
Discriminant |
Eigenvalues |
2+ 2 0 -1 -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5667,-313585] |
[a1,a2,a3,a4,a6] |
Generators |
[74:711:1] [13926:318959:27] |
Generators of the group modulo torsion |
j |
314432000000000/837755450467 |
j-invariant |
L |
13.134615250998 |
L(r)(E,1)/r! |
Ω |
0.32440491647902 |
Real period |
R |
40.488335977084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728o3 1027a3 |
Quadratic twists by: -4 8 |