Atkin-Lehner |
2+ 3- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672v |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
9.7312254912628E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2505144,-277485660] |
[a1,a2,a3,a4,a6] |
Generators |
[-1497:10962:1] |
Generators of the group modulo torsion |
j |
1697938725677182750948/950314989381134013 |
j-invariant |
L |
8.1566166456252 |
L(r)(E,1)/r! |
Ω |
0.12893113947147 |
Real period |
R |
0.98848994641803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953021 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63336m4 |
Quadratic twists by: -4 |