Atkin-Lehner |
2- 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82160m |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
97617385216000000 = 214 · 56 · 136 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 0 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-118507,4538394] |
[a1,a2,a3,a4,a6] |
Generators |
[38:300:1] |
Generators of the group modulo torsion |
j |
44936141301085761/23832369437500 |
j-invariant |
L |
6.5191195841542 |
L(r)(E,1)/r! |
Ω |
0.29546959312954 |
Real period |
R |
3.6772647856639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270f2 |
Quadratic twists by: -4 |