Atkin-Lehner |
3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16245j |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
32896125 = 36 · 53 · 192 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-912,10597] |
[a1,a2,a3,a4,a6] |
Generators |
[5:78:1] [7:67:1] |
Generators of the group modulo torsion |
j |
318767104/125 |
j-invariant |
L |
5.6920810315238 |
L(r)(E,1)/r! |
Ω |
2.0396865340209 |
Real period |
R |
0.46511076878588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1805b1 81225y1 16245e1 |
Quadratic twists by: -3 5 -19 |