Atkin-Lehner |
2+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
43168c |
Isogeny class |
Conductor |
43168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
49038848 = 29 · 19 · 712 |
Discriminant |
Eigenvalues |
2+ 0 2 2 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,-858] |
[a1,a2,a3,a4,a6] |
j |
1238833224/95779 |
j-invariant |
L |
1.311618292861 |
L(r)(E,1)/r! |
Ω |
1.3116182930306 |
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 |
43168e2 86336a2 |
Quadratic twists by: -4 8 |