Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536do |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
18769752050112 = 26 · 38 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10204,334190] |
[a1,a2,a3,a4,a6] |
Generators |
[113:798:1] |
Generators of the group modulo torsion |
j |
1836105571609408/293277375783 |
j-invariant |
L |
5.8104168545124 |
L(r)(E,1)/r! |
Ω |
0.65785550652976 |
Real period |
R |
0.36801501221514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536bs1 12768n2 76608fj1 |
Quadratic twists by: -4 8 -3 |