Atkin-Lehner |
5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15575c |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-48671875 = -1 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 3 4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130,-628] |
[a1,a2,a3,a4,a6] |
Generators |
[14:5:1] |
Generators of the group modulo torsion |
j |
-15438249/3115 |
j-invariant |
L |
2.8304228470687 |
L(r)(E,1)/r! |
Ω |
0.69976702149537 |
Real period |
R |
1.011201857234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3115c1 109025n1 |
Quadratic twists by: 5 -7 |