Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320bd |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-261120 = -1 · 210 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[34:201:1] |
Generators of the group modulo torsion |
j |
-256/255 |
j-invariant |
L |
5.0287842637697 |
L(r)(E,1)/r! |
Ω |
1.4012182318449 |
Real period |
R |
3.5888658522153 |
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 |
16320bu1 2040d1 48960cv1 81600i1 |
Quadratic twists by: -4 8 -3 5 |