Atkin-Lehner |
5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
53845a |
Isogeny class |
Conductor |
53845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25681292533065125 = 53 · 1110 · 892 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11- 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107813,11189468] |
[a1,a2,a3,a4,a6] |
j |
78232514242609/14496420125 |
j-invariant |
L |
0.71651811367673 |
L(r)(E,1)/r! |
Ω |
0.35825905717681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895b2 |
Quadratic twists by: -11 |