Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14508c |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-460324273968 = -1 · 24 · 311 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,32893] |
[a1,a2,a3,a4,a6] |
Generators |
[87:806:1] |
Generators of the group modulo torsion |
j |
-1048576000/39465387 |
j-invariant |
L |
4.6154186363878 |
L(r)(E,1)/r! |
Ω |
0.77974708332926 |
Real period |
R |
2.9595613340941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58032x1 4836c1 |
Quadratic twists by: -4 -3 |