Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200gc |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-324673592320000000 = -1 · 216 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37300,27274000] |
[a1,a2,a3,a4,a6] |
Generators |
[-246:1792:1] [90:5600:1] |
Generators of the group modulo torsion |
j |
5604672636/317064055 |
j-invariant |
L |
11.564217418484 |
L(r)(E,1)/r! |
Ω |
0.23207413316495 |
Real period |
R |
3.1143651350237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999994265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200a3 30800h3 24640bg3 |
Quadratic twists by: -4 8 5 |