Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bu |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-1167218370792128512 = -1 · 221 · 117 · 134 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1084223,437543833] |
[a1,a2,a3,a4,a6] |
Generators |
[934:-15955:1] |
Generators of the group modulo torsion |
j |
-2785800837625/23068672 |
j-invariant |
L |
5.3968180745576 |
L(r)(E,1)/r! |
Ω |
0.2755477868876 |
Real period |
R |
0.23316403643313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718j2 40898r2 |
Quadratic twists by: -11 13 |