Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533c |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-152915898542032269 = -1 · 39 · 73 · 192 · 894 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35264,-18977192] |
[a1,a2,a3,a4,a6] |
Generators |
[100539829147849:-2407390048081894:154767658409] |
Generators of the group modulo torsion |
j |
-246385753405371/7768932507343 |
j-invariant |
L |
5.4868356389846 |
L(r)(E,1)/r! |
Ω |
0.1412994772458 |
Real period |
R |
19.415626173094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533e2 |
Quadratic twists by: -3 |