Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296dg |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
490848341267644416 = 216 · 32 · 72 · 198 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-444872,-109269900] |
[a1,a2,a3,a4,a6] |
Generators |
[42913974870:29449597837184:91125] |
Generators of the group modulo torsion |
j |
50529889873/2547216 |
j-invariant |
L |
10.518413780704 |
L(r)(E,1)/r! |
Ω |
0.18543782405123 |
Real period |
R |
14.180512822275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013245 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15162f2 6384u2 |
Quadratic twists by: -4 -19 |