Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bb |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38057286758400 = 212 · 35 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14561,612561] |
[a1,a2,a3,a4,a6] |
j |
83361821437504/9291329775 |
j-invariant |
L |
1.2558015860947 |
L(r)(E,1)/r! |
Ω |
0.62790079301843 |
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 |
43680p2 87360dc1 |
Quadratic twists by: -4 8 |