Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152t |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2207644655182848 = 210 · 39 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105699,13032178] |
[a1,a2,a3,a4,a6] |
Generators |
[-319:3780:1] |
Generators of the group modulo torsion |
j |
174947951977348/2957342913 |
j-invariant |
L |
5.9280073230867 |
L(r)(E,1)/r! |
Ω |
0.46297890135647 |
Real period |
R |
1.6005068766953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9576u3 76608fq3 6384m3 |
Quadratic twists by: -4 8 -3 |