Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320q |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
28 |
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 |
[745:1000:1] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
4.4399256141107 |
L(r)(E,1)/r! |
Ω |
0.33683339627441 |
Real period |
R |
1.8830528526731 |
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 |
16320cy1 1020f1 48960bf1 81600cm1 |
Quadratic twists by: -4 8 -3 5 |