Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45486bb |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
-2.9113497023618E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,191623,-820341223] |
[a1,a2,a3,a4,a6] |
Generators |
[1731:67660:1] |
Generators of the group modulo torsion |
j |
62851031/23514624 |
j-invariant |
L |
9.9351687382698 |
L(r)(E,1)/r! |
Ω |
0.081148144174906 |
Real period |
R |
3.4009022905237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162j1 45486i1 |
Quadratic twists by: -3 -19 |