Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792ci |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
67645867032576 = 221 · 37 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53921,4821057] |
[a1,a2,a3,a4,a6] |
Generators |
[157:448:1] |
Generators of the group modulo torsion |
j |
66140223486121/258048504 |
j-invariant |
L |
5.1860058658125 |
L(r)(E,1)/r! |
Ω |
0.62100301189446 |
Real period |
R |
0.69591797012805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bk1 14448bf1 |
Quadratic twists by: -4 8 |