Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-7.3409994376028E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84243,-412333742] |
[a1,a2,a3,a4,a6] |
Generators |
[929:17640:1] |
Generators of the group modulo torsion |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
5.0818345931827 |
L(r)(E,1)/r! |
Ω |
0.087636122602957 |
Real period |
R |
0.90606091604217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190k6 21840ck5 |
Quadratic twists by: -4 -3 |