Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325u |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
685032472265625 = 38 · 58 · 112 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22730,-386728] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1005:1] |
Generators of the group modulo torsion |
j |
114013572049/60140025 |
j-invariant |
L |
3.8731531052794 |
L(r)(E,1)/r! |
Ω |
0.41252579441467 |
Real period |
R |
2.3472187616871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999172751 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38775l2 23265q2 |
Quadratic twists by: -3 5 |