Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8272l |
Isogeny class |
Conductor |
8272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-99528704 = -1 · 212 · 11 · 472 |
Discriminant |
Eigenvalues |
2- -3 3 2 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256,1648] |
[a1,a2,a3,a4,a6] |
Generators |
[17:47:1] |
Generators of the group modulo torsion |
j |
-452984832/24299 |
j-invariant |
L |
3.4164930621932 |
L(r)(E,1)/r! |
Ω |
1.8694034866857 |
Real period |
R |
0.91379231036162 |
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 |
517b1 33088bm1 74448bp1 90992be1 |
Quadratic twists by: -4 8 -3 -11 |