Atkin-Lehner |
7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28567a |
Isogeny class |
Conductor |
28567 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-786276197696143 = -1 · 77 · 112 · 534 |
Discriminant |
Eigenvalues |
-1 0 -2 7- 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45016,-3904638] |
[a1,a2,a3,a4,a6] |
Generators |
[411350:93069349:8] |
Generators of the group modulo torsion |
j |
-85748618900673/6683237407 |
j-invariant |
L |
2.8078753023543 |
L(r)(E,1)/r! |
Ω |
0.16315148043298 |
Real period |
R |
8.6051174494481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4081a1 |
Quadratic twists by: -7 |