Atkin-Lehner |
3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28275d |
Isogeny class |
Conductor |
28275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
6978181640625 = 36 · 59 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-232606063,1365365210156] |
[a1,a2,a3,a4,a6] |
j |
89077245323151497432103721/446603625 |
j-invariant |
L |
0.98035260913567 |
L(r)(E,1)/r! |
Ω |
0.24508815228402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84825l1 5655h1 |
Quadratic twists by: -3 5 |