Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
83824x |
Isogeny class |
Conductor |
83824 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-4.2131832421823E+26 |
Discriminant |
Eigenvalues |
2- 1 -1 3 2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180856984,-314382852172] |
[a1,a2,a3,a4,a6] |
Generators |
[73882566:23723407448:729] |
Generators of the group modulo torsion |
j |
33090970201326732239/21310335461500826 |
j-invariant |
L |
8.7905688614076 |
L(r)(E,1)/r! |
Ω |
0.030375504204062 |
Real period |
R |
3.6174580029193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10478c2 6448i2 |
Quadratic twists by: -4 13 |