Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dn |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
4.3177513602855E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7221458,7464506753] |
[a1,a2,a3,a4,a6] |
Generators |
[1971:28765:1] |
Generators of the group modulo torsion |
j |
5460773465406483/5661264752 |
j-invariant |
L |
9.7547442690243 |
L(r)(E,1)/r! |
Ω |
0.20197525872253 |
Real period |
R |
6.0370911120048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126p1 126126df1 |
Quadratic twists by: -3 -7 |