Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dr |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
6429002711040 = 214 · 36 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33627,2370314] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1872:1] |
Generators of the group modulo torsion |
j |
1408317602329/2153060 |
j-invariant |
L |
6.1642325309132 |
L(r)(E,1)/r! |
Ω |
0.75138780548248 |
Real period |
R |
0.68364969526374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bu1 7280n1 |
Quadratic twists by: -4 -3 |