Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115596l |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-5020093198993392 = -1 · 24 · 36 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27885,3851341] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-1521:1] |
Generators of the group modulo torsion |
j |
-42592000/89167 |
j-invariant |
L |
5.9796795787788 |
L(r)(E,1)/r! |
Ω |
0.38386066176024 |
Real period |
R |
1.2981445685444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844c1 8892n1 |
Quadratic twists by: -3 13 |