Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690w |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-29205442944000 = -1 · 210 · 37 · 53 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2250,256932] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-1062:1] |
Generators of the group modulo torsion |
j |
1259677008323999/29205442944000 |
j-invariant |
L |
7.8809329555368 |
L(r)(E,1)/r! |
Ω |
0.49676609224295 |
Real period |
R |
0.075545116213103 |
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 |
77520bm1 29070l1 48450i1 |
Quadratic twists by: -4 -3 5 |