Atkin-Lehner |
5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28435k |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
10407920875 = 53 · 116 · 47 |
Discriminant |
Eigenvalues |
1 -1 5- -1 11- 3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-607,-3274] |
[a1,a2,a3,a4,a6] |
j |
13997521/5875 |
j-invariant |
L |
2.9947686304227 |
L(r)(E,1)/r! |
Ω |
0.99825621014156 |
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 |
235a1 |
Quadratic twists by: -11 |