Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312cm |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0443730070586E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9657953,-12552075519] |
[a1,a2,a3,a4,a6] |
Generators |
[1393253623829:296262372173856:30664297] |
Generators of the group modulo torsion |
j |
-8078253774625/846825858 |
j-invariant |
L |
6.6248220119116 |
L(r)(E,1)/r! |
Ω |
0.042567856836547 |
Real period |
R |
19.453710216803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312bo4 17328be4 3648bh4 |
Quadratic twists by: -4 8 -19 |