Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048bc |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-995803787165696 = -1 · 224 · 172 · 593 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-438792,112032496] |
[a1,a2,a3,a4,a6] |
Generators |
[84:8704:1] [322:2006:1] |
Generators of the group modulo torsion |
j |
-2281081786314874633/243116158976 |
j-invariant |
L |
5.1868308875762 |
L(r)(E,1)/r! |
Ω |
0.47396659552172 |
Real period |
R |
0.45597718423837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006c2 64192cc2 |
Quadratic twists by: -4 8 |