Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680cc |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
219268417804800 = 29 · 3 · 52 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15120,-72600] |
[a1,a2,a3,a4,a6] |
j |
746685723047048/428258628525 |
j-invariant |
L |
3.7383976959871 |
L(r)(E,1)/r! |
Ω |
0.46729971199404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bp3 87360ek4 |
Quadratic twists by: -4 8 |