Atkin-Lehner |
3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005m |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-9120417529858171875 = -1 · 32 · 56 · 138 · 433 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,203589,141000266] |
[a1,a2,a3,a4,a6] |
Generators |
[1746:76303:1] |
Generators of the group modulo torsion |
j |
1144030724096/11180671875 |
j-invariant |
L |
7.2974269922474 |
L(r)(E,1)/r! |
Ω |
0.16961627431875 |
Real period |
R |
1.1950875909908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109005q2 |
Quadratic twists by: 13 |