Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320dd |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-6528000 = -1 · 210 · 3 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28905,1881903] |
[a1,a2,a3,a4,a6] |
Generators |
[98:3:1] |
Generators of the group modulo torsion |
j |
-2608300961238784/6375 |
j-invariant |
L |
5.4342790540386 |
L(r)(E,1)/r! |
Ω |
1.5580928173735 |
Real period |
R |
1.1625920684236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16320u2 4080u2 48960eo2 81600fz2 |
Quadratic twists by: -4 8 -3 5 |