Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220u |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
888467000400 = 24 · 39 · 52 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3072,-47311] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:135:1] |
Generators of the group modulo torsion |
j |
274877906944/76171725 |
j-invariant |
L |
5.8562827711335 |
L(r)(E,1)/r! |
Ω |
0.65467764401163 |
Real period |
R |
0.74544101013389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740a1 |
Quadratic twists by: -3 |