Atkin-Lehner |
2+ 11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16082c |
Isogeny class |
Conductor |
16082 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3024944947904 = -1 · 26 · 112 · 173 · 433 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3862,-124952] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7373:1] |
Generators of the group modulo torsion |
j |
-6367938476981977/3024944947904 |
j-invariant |
L |
4.6576128885397 |
L(r)(E,1)/r! |
Ω |
0.29608359613291 |
Real period |
R |
1.3108946677481 |
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 |
128656k2 |
Quadratic twists by: -4 |