Atkin-Lehner |
2- 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538w |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
107765504 = 28 · 72 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-202,1033] |
[a1,a2,a3,a4,a6] |
Generators |
[13:15:1] |
Generators of the group modulo torsion |
j |
18516742209/2199296 |
j-invariant |
L |
10.963790003083 |
L(r)(E,1)/r! |
Ω |
1.8170235372244 |
Real period |
R |
0.3771205277469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538v1 |
Quadratic twists by: -7 |