Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bk |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
113945149440 = 216 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361840,83656148] |
[a1,a2,a3,a4,a6] |
Generators |
[178:4992:1] |
Generators of the group modulo torsion |
j |
1279130011356875761/27818640 |
j-invariant |
L |
5.2428642370176 |
L(r)(E,1)/r! |
Ω |
0.76062112862944 |
Real period |
R |
3.4464361031258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590p3 50880cf4 38160bk4 63600bo4 |
Quadratic twists by: -4 8 -3 5 |