Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368g |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
172740313088 = 221 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2348,38960] |
[a1,a2,a3,a4,a6] |
j |
5461074081/658952 |
j-invariant |
L |
3.9275848322939 |
L(r)(E,1)/r! |
Ω |
0.98189620807348 |
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 |
18368q2 574h2 128576be2 |
Quadratic twists by: -4 8 -7 |