Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760be |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
59439744000 = 210 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5043,137342] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:448:1] |
Generators of the group modulo torsion |
j |
19000416964/79625 |
j-invariant |
L |
5.0912877066594 |
L(r)(E,1)/r! |
Ω |
1.1165049177847 |
Real period |
R |
2.2800113217418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520y1 3640f1 |
Quadratic twists by: -4 -3 |