Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bf |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-15707016364032 = -1 · 215 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1515,192026] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-432:1] |
Generators of the group modulo torsion |
j |
-128787625/5260248 |
j-invariant |
L |
6.7046934370285 |
L(r)(E,1)/r! |
Ω |
0.58032776178607 |
Real period |
R |
0.7220804644732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8946x1 23856o1 |
Quadratic twists by: -4 -3 |