Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467p |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2113346091635163 = -1 · 38 · 76 · 115 · 17 |
Discriminant |
Eigenvalues |
0 3- -2 7- 11+ 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-118776,15910312] |
[a1,a2,a3,a4,a6] |
Generators |
[2018:11309:8] |
Generators of the group modulo torsion |
j |
-2160697802752/24640803 |
j-invariant |
L |
5.1875899742678 |
L(r)(E,1)/r! |
Ω |
0.46586999143313 |
Real period |
R |
5.5676369686122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489j1 1683f1 |
Quadratic twists by: -3 -7 |