Atkin-Lehner |
7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
28567a |
Isogeny class |
Conductor |
28567 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
237086486097769 = 78 · 114 · 532 |
Discriminant |
Eigenvalues |
-1 0 -2 7- 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-733221,-241473004] |
[a1,a2,a3,a4,a6] |
Generators |
[55330281721:512579526759:53582633] |
Generators of the group modulo torsion |
j |
370543843290520593/2015201881 |
j-invariant |
L |
2.8078753023543 |
L(r)(E,1)/r! |
Ω |
0.16315148043298 |
Real period |
R |
17.210234898896 |
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 |
4081a2 |
Quadratic twists by: -7 |