Atkin-Lehner |
2- 3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
19422j |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-486913975052544 = -1 · 28 · 39 · 132 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 1 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15712,-747197] |
[a1,a2,a3,a4,a6] |
Generators |
[421:-9175:1] |
Generators of the group modulo torsion |
j |
21794792775237/24737792768 |
j-invariant |
L |
8.2152765506243 |
L(r)(E,1)/r! |
Ω |
0.28253462017921 |
Real period |
R |
0.30288605816893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19422a1 |
Quadratic twists by: -3 |