Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216m |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
590551547904 = 215 · 33 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18704,990144] |
[a1,a2,a3,a4,a6] |
j |
176681250634897/144177624 |
j-invariant |
L |
1.8217038861556 |
L(r)(E,1)/r! |
Ω |
0.91085194309481 |
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 |
4902n2 117648ba2 |
Quadratic twists by: -4 -3 |