Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16275y |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
144186328125 = 35 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 1 -6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4208,-104881] |
[a1,a2,a3,a4,a6] |
j |
21100564480/369117 |
j-invariant |
L |
5.9338011399181 |
L(r)(E,1)/r! |
Ω |
0.59338011399181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825bv1 16275d1 113925bn1 |
Quadratic twists by: -3 5 -7 |