Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cd |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
-46473750000000000 = -1 · 210 · 37 · 513 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30575,10155625] |
[a1,a2,a3,a4,a6] |
Generators |
[600:15625:1] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
5.0023238759536 |
L(r)(E,1)/r! |
Ω |
0.26609959506585 |
Real period |
R |
1.4460530998136 |
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 |
16320bk1 4080m1 48960ez1 81600iy1 |
Quadratic twists by: -4 8 -3 5 |