Atkin-Lehner |
3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77319f |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
5580189549 = 310 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3- 1 -5 11+ -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-462,-1301] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] [-11:49:1] |
Generators of the group modulo torsion |
j |
11239424/5751 |
j-invariant |
L |
7.9630052239325 |
L(r)(E,1)/r! |
Ω |
1.0877757152456 |
Real period |
R |
0.91505596147717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773b1 77319e1 |
Quadratic twists by: -3 -11 |