Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bo |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
7050240 = 210 · 34 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,405] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [-4:27:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
5.6499477911395 |
L(r)(E,1)/r! |
Ω |
2.3205845781505 |
Real period |
R |
2.4347088420461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320v1 4080bc1 48960fq1 81600io1 |
Quadratic twists by: -4 8 -3 5 |