Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640z |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
1185228497124000000 = 28 · 32 · 56 · 76 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264780,-2646900] |
[a1,a2,a3,a4,a6] |
j |
8019382352783901136/4629798816890625 |
j-invariant |
L |
4.1351297810585 |
L(r)(E,1)/r! |
Ω |
0.22972943228061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320e2 115920x2 |
Quadratic twists by: -4 -3 |