Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640dg |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
2438166277440 = 26 · 317 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3875,53283] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:243:1] |
Generators of the group modulo torsion |
j |
100570574232064/38096348085 |
j-invariant |
L |
8.8891766130655 |
L(r)(E,1)/r! |
Ω |
0.74396231823309 |
Real period |
R |
0.70284842273359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640cf1 28320b1 |
Quadratic twists by: -4 8 |