Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cn |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
951035904000 = 214 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4203,-93798] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:98:1] |
Generators of the group modulo torsion |
j |
2749884201/318500 |
j-invariant |
L |
5.2640712200952 |
L(r)(E,1)/r! |
Ω |
0.59741644819436 |
Real period |
R |
2.2028482961855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bi1 7280t1 |
Quadratic twists by: -4 -3 |