Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28435d |
Isogeny class |
Conductor |
28435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-10407920875 = -1 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
-2 2 5+ 2 11- -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,444,-3488] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1996:1] |
Generators of the group modulo torsion |
j |
5451776/5875 |
j-invariant |
L |
3.7925520563507 |
L(r)(E,1)/r! |
Ω |
0.69483490841821 |
Real period |
R |
2.7291029929574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235c1 |
Quadratic twists by: -11 |