Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640bv |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-521994240 = -1 · 216 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 2 5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-641,6561] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-16:1] |
Generators of the group modulo torsion |
j |
-445138564/7965 |
j-invariant |
L |
5.2449442546973 |
L(r)(E,1)/r! |
Ω |
1.6507206047056 |
Real period |
R |
0.79434161052957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640u1 14160g1 |
Quadratic twists by: -4 8 |