Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296a |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
7294726812672 = 210 · 38 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10560,-396952] |
[a1,a2,a3,a4,a6] |
j |
174456832000/9771957 |
j-invariant |
L |
1.8904194967895 |
L(r)(E,1)/r! |
Ω |
0.47260450480095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bz1 7956e1 42432c1 |
Quadratic twists by: -4 8 -3 |