Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232n |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-4862992606344677376 = -1 · 211 · 37 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273160,-119575468] |
[a1,a2,a3,a4,a6] |
j |
-1349273042/2910897 |
j-invariant |
L |
4.1087815534209 |
L(r)(E,1)/r! |
Ω |
0.097828136286145 |
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 |
44616d1 89232s1 |
Quadratic twists by: -4 13 |