Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550kg |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
5971968 |
Modular degree for the optimal curve |
Δ |
856079897144062500 = 22 · 39 · 57 · 77 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17570813,-28350308883] |
[a1,a2,a3,a4,a6] |
Generators |
[-19354:11027:8] |
Generators of the group modulo torsion |
j |
326355561310674169/465699780 |
j-invariant |
L |
12.539174172745 |
L(r)(E,1)/r! |
Ω |
0.073739744340434 |
Real period |
R |
2.3617548219126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110m1 13650bu1 |
Quadratic twists by: 5 -7 |