Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11040c |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41135040000 = 29 · 35 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2400,45000] |
[a1,a2,a3,a4,a6] |
j |
2987228332808/80341875 |
j-invariant |
L |
2.2841081354974 |
L(r)(E,1)/r! |
Ω |
1.1420540677487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11040o2 22080y2 33120be2 55200cl2 |
Quadratic twists by: -4 8 -3 5 |