Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130bu |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-78739367105520 = -1 · 24 · 34 · 5 · 116 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3365,420545] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:631:1] |
Generators of the group modulo torsion |
j |
614341775501/11479715280 |
j-invariant |
L |
17.117193609631 |
L(r)(E,1)/r! |
Ω |
0.45531425701959 |
Real period |
R |
0.78321333960188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130j2 |
Quadratic twists by: -19 |