Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57134t |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
200503296 |
Modular degree for the optimal curve |
Δ |
-4.1264717290584E+30 |
Discriminant |
Eigenvalues |
2- 3 1 7- 11+ 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1733357247,101605361779303] |
[a1,a2,a3,a4,a6] |
Generators |
[-1022892423789:120221997797302:19034163] |
Generators of the group modulo torsion |
j |
-4895529968138367151960292529/35074430968885241062621184 |
j-invariant |
L |
17.805091656427 |
L(r)(E,1)/r! |
Ω |
0.021208309319828 |
Real period |
R |
19.988899036289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162e1 |
Quadratic twists by: -7 |