Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050bf |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
34248420000000 = 28 · 310 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56255,-5113753] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:148:1] |
Generators of the group modulo torsion |
j |
1728432036001/3006720 |
j-invariant |
L |
6.3659548552122 |
L(r)(E,1)/r! |
Ω |
0.31003109526903 |
Real period |
R |
1.2833299127802 |
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 |
104400ec1 4350n1 2610c1 |
Quadratic twists by: -4 -3 5 |