Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cp |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.2038048812022E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6785029,2177369865] |
[a1,a2,a3,a4,a6] |
j |
293623352309352854879/187320324116835000 |
j-invariant |
L |
3.6060324225172 |
L(r)(E,1)/r! |
Ω |
0.075125675469108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ci5 95550bt5 2730x6 |
Quadratic twists by: -3 5 -7 |