Atkin-Lehner |
2- 3+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16932c |
Isogeny class |
Conductor |
16932 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2369938176 = -1 · 28 · 38 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5237,-144159] |
[a1,a2,a3,a4,a6] |
Generators |
[60356:1846881:64] |
Generators of the group modulo torsion |
j |
-62060374786048/9257571 |
j-invariant |
L |
4.190771447555 |
L(r)(E,1)/r! |
Ω |
0.28060029186219 |
Real period |
R |
7.4675108492282 |
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 |
67728bc1 50796b1 |
Quadratic twists by: -4 -3 |