Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786be |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.7908275111364E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5096750,4409687405] |
[a1,a2,a3,a4,a6] |
Generators |
[2871:114475:1] |
Generators of the group modulo torsion |
j |
135677890491625/721919952 |
j-invariant |
L |
12.572932129716 |
L(r)(E,1)/r! |
Ω |
0.19420073274321 |
Real period |
R |
4.0463712168919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262j2 5382o2 |
Quadratic twists by: -3 -23 |