Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400gc |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
38338560000000 = 222 · 32 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21633,-1195137] |
[a1,a2,a3,a4,a6] |
Generators |
[-678:1533:8] |
Generators of the group modulo torsion |
j |
273359449/9360 |
j-invariant |
L |
8.1978716371829 |
L(r)(E,1)/r! |
Ω |
0.39448538609076 |
Real period |
R |
5.1952948868434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400b1 15600bf1 12480ce1 |
Quadratic twists by: -4 8 5 |