Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976x |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.3585704591718E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2718017,-1402989537] |
[a1,a2,a3,a4,a6] |
Generators |
[6667:526176:1] |
Generators of the group modulo torsion |
j |
8471112631466271697/1662662681263647 |
j-invariant |
L |
8.6317844150219 |
L(r)(E,1)/r! |
Ω |
0.11919005617579 |
Real period |
R |
1.5087570872054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bb6 609b5 116928ck6 |
Quadratic twists by: -4 8 -3 |