Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160b |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-213616000000 = -1 · 210 · 56 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1144,16900] |
[a1,a2,a3,a4,a6] |
Generators |
[0:130:1] |
Generators of the group modulo torsion |
j |
161555647964/208609375 |
j-invariant |
L |
4.8125420048257 |
L(r)(E,1)/r! |
Ω |
0.67145991448627 |
Real period |
R |
1.7918202935872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41080e2 |
Quadratic twists by: -4 |