Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570n |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
278928 |
Modular degree for the optimal curve |
Δ |
-10808432053250 = -1 · 2 · 53 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51126,-4456570] |
[a1,a2,a3,a4,a6] |
j |
-18117691969/13250 |
j-invariant |
L |
0.47622399247789 |
L(r)(E,1)/r! |
Ω |
0.15874132935832 |
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 |
89570h1 |
Quadratic twists by: 13 |