Atkin-Lehner |
2+ 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416b |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-42824867976198144 = -1 · 211 · 35 · 174 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73656,6294672] |
[a1,a2,a3,a4,a6] |
j |
21578052925942126/20910580066503 |
j-invariant |
L |
3.7958158275605 |
L(r)(E,1)/r! |
Ω |
0.23723848779683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41208c1 |
Quadratic twists by: -4 |