Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533b |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
216911521701 = 39 · 73 · 192 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4395899,3548576278] |
[a1,a2,a3,a4,a6] |
Generators |
[2141:61759:1] |
Generators of the group modulo torsion |
j |
477282426122046316491/11020247 |
j-invariant |
L |
3.6978708377512 |
L(r)(E,1)/r! |
Ω |
0.5210495822736 |
Real period |
R |
7.0969653578749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533d2 |
Quadratic twists by: -3 |