Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320cy |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
58543540560000000 = 210 · 316 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1762085,-900814725] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:225:1] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
6.367895420397 |
L(r)(E,1)/r! |
Ω |
0.13103742250252 |
Real period |
R |
0.86778582827506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320q1 4080s1 48960eb1 81600fe1 |
Quadratic twists by: -4 8 -3 5 |