Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808cd |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156503273084928 = 211 · 310 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208299,36586438] |
[a1,a2,a3,a4,a6] |
j |
5690357426/891 |
j-invariant |
L |
2.2293038267184 |
L(r)(E,1)/r! |
Ω |
0.55732595668201 |
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 |
77616ch4 12936j3 792d3 |
Quadratic twists by: -4 -3 -7 |