Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152u |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.5901664451282E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57459,191931010] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:13720:1] |
Generators of the group modulo torsion |
j |
-28104147578308/21301741002339 |
j-invariant |
L |
6.1555528256885 |
L(r)(E,1)/r! |
Ω |
0.17825721156606 |
Real period |
R |
1.4388274420077 |
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 |
9576v4 76608fu3 6384n4 |
Quadratic twists by: -4 8 -3 |