Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
38688f |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14856192 = 212 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2145,-38961] |
[a1,a2,a3,a4,a6] |
Generators |
[3603:38836:27] |
Generators of the group modulo torsion |
j |
266592609856/3627 |
j-invariant |
L |
4.6176022111752 |
L(r)(E,1)/r! |
Ω |
0.7014976395474 |
Real period |
R |
6.5824914452356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38688d2 77376bc1 116064k2 |
Quadratic twists by: -4 8 -3 |