Atkin-Lehner |
3- 5- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122265bl |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
8417280 |
Modular degree for the optimal curve |
Δ |
-2.162299803502E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6160986,-3926808977] |
[a1,a2,a3,a4,a6] |
j |
35476993623337003719071/29661177002771231775 |
j-invariant |
L |
5.3450672631588 |
L(r)(E,1)/r! |
Ω |
0.066813339854804 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755a1 |
Quadratic twists by: -3 |