Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760q |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-557120229120 = -1 · 28 · 314 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,35786] |
[a1,a2,a3,a4,a6] |
Generators |
[35:304:1] |
Generators of the group modulo torsion |
j |
35969456/2985255 |
j-invariant |
L |
4.9463947788371 |
L(r)(E,1)/r! |
Ω |
0.70527754488665 |
Real period |
R |
3.5067008830064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bm1 10920j1 |
Quadratic twists by: -4 -3 |