Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192cc |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3339751392491802624 = -1 · 212 · 316 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-386577,127501695] |
[a1,a2,a3,a4,a6] |
Generators |
[135:8820:1] |
Generators of the group modulo torsion |
j |
-13258203533632/6930522081 |
j-invariant |
L |
10.83704990076 |
L(r)(E,1)/r! |
Ω |
0.23368308268116 |
Real period |
R |
1.4492183384951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bg2 15456o4 |
Quadratic twists by: -4 -7 |