Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365m |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
64492567171875 = 32 · 56 · 176 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 2 2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27028,-1668277] |
[a1,a2,a3,a4,a6] |
Generators |
[2742:41975:8] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
11.135414240584 |
L(r)(E,1)/r! |
Ω |
0.37302030932954 |
Real period |
R |
2.4876693395363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
285b2 |
Quadratic twists by: 17 |