Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320be |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
345179750400 = 216 · 36 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24481,1465919] |
[a1,a2,a3,a4,a6] |
Generators |
[59:480:1] |
Generators of the group modulo torsion |
j |
24759905519524/5267025 |
j-invariant |
L |
4.343174331058 |
L(r)(E,1)/r! |
Ω |
0.93324498769746 |
Real period |
R |
0.77564026386642 |
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 |
16320bw2 2040l2 48960cw2 81600p2 |
Quadratic twists by: -4 8 -3 5 |