Atkin-Lehner |
2- 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648x |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
4774564528128 = 216 · 36 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32736,-2288268] |
[a1,a2,a3,a4,a6] |
Generators |
[698:17760:1] |
Generators of the group modulo torsion |
j |
947226559343329/1165665168 |
j-invariant |
L |
11.940022171457 |
L(r)(E,1)/r! |
Ω |
0.35495568636163 |
Real period |
R |
2.8031720455932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999013888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206g1 |
Quadratic twists by: -4 |