Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cf |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
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 |
[-6420:10911:125] |
Generators of the group modulo torsion |
j |
100570574232064/38096348085 |
j-invariant |
L |
4.6458355677911 |
L(r)(E,1)/r! |
Ω |
0.62464522210575 |
Real period |
R |
7.4375587988265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640dg1 28320l1 |
Quadratic twists by: -4 8 |