Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cy |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-845158860000 = -1 · 25 · 36 · 54 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85,44225] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1225:1] |
Generators of the group modulo torsion |
j |
-198155287/2464020000 |
j-invariant |
L |
9.7301634169403 |
L(r)(E,1)/r! |
Ω |
0.71228411420032 |
Real period |
R |
0.11383757341297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330t2 95550bc2 19110br2 |
Quadratic twists by: -3 5 -7 |