Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cu |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-9.6272139297211E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1760252,-1014877249] |
[a1,a2,a3,a4,a6] |
Generators |
[5061:343429:1] |
Generators of the group modulo torsion |
j |
-932288503609/148800000 |
j-invariant |
L |
10.626840672509 |
L(r)(E,1)/r! |
Ω |
0.064965511371963 |
Real period |
R |
0.45437958149716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830r1 2790bc1 |
Quadratic twists by: -3 -31 |