Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11040b |
Isogeny class |
Conductor |
11040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66240000 = 29 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2216,-39420] |
[a1,a2,a3,a4,a6] |
j |
2351575819592/129375 |
j-invariant |
L |
1.3916249755003 |
L(r)(E,1)/r! |
Ω |
0.69581248775014 |
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 |
11040l3 22080bn4 33120bi4 55200cd4 |
Quadratic twists by: -4 8 -3 5 |