Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760j |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
304430400 = 26 · 38 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3117,66976] |
[a1,a2,a3,a4,a6] |
Generators |
[27:50:1] |
Generators of the group modulo torsion |
j |
71783828416/6525 |
j-invariant |
L |
5.3777031526775 |
L(r)(E,1)/r! |
Ω |
1.6487833414255 |
Real period |
R |
1.6308095240781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760i1 83520ev2 13920z1 |
Quadratic twists by: -4 8 -3 |