Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986l |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5443487219520064 = 26 · 116 · 134 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58768,4194240] |
[a1,a2,a3,a4,a6] |
Generators |
[398:9239:8] |
Generators of the group modulo torsion |
j |
12670521525297/3072706624 |
j-invariant |
L |
3.9631839580319 |
L(r)(E,1)/r! |
Ω |
0.4026303265466 |
Real period |
R |
2.4608082453761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996175157 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1066e2 |
Quadratic twists by: -11 |