Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270x |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6739200 |
Modular degree for the optimal curve |
Δ |
1.3873103619247E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7872281,-6340707097] |
[a1,a2,a3,a4,a6] |
j |
2434278488702761/625919400000 |
j-invariant |
L |
1.1021185421848 |
L(r)(E,1)/r! |
Ω |
0.091843214157713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590i1 |
Quadratic twists by: 53 |