Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450k |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-330113469450625000 = -1 · 23 · 57 · 72 · 476 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-373188,-92155219] |
[a1,a2,a3,a4,a6] |
Generators |
[57204:1060027:64] |
Generators of the group modulo torsion |
j |
-367863560524688761/21127262044840 |
j-invariant |
L |
9.9152196639366 |
L(r)(E,1)/r! |
Ω |
0.096259299315418 |
Real period |
R |
5.7225176248206 |
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 |
3290e4 115150ca4 |
Quadratic twists by: 5 -7 |