Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830bu |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-86779687500 = -1 · 22 · 33 · 58 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,658,-12759] |
[a1,a2,a3,a4,a6] |
Generators |
[21:89:1] |
Generators of the group modulo torsion |
j |
1168574089437/3214062500 |
j-invariant |
L |
8.448017285551 |
L(r)(E,1)/r! |
Ω |
0.55346446188153 |
Real period |
R |
0.95399274336778 |
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 |
16830c2 84150l2 |
Quadratic twists by: -3 5 |