Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040y |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
3529293120 = 26 · 38 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-417,-1604] |
[a1,a2,a3,a4,a6] |
Generators |
[45:266:1] |
Generators of the group modulo torsion |
j |
171879616/75645 |
j-invariant |
L |
8.0732298729507 |
L(r)(E,1)/r! |
Ω |
1.1001753667266 |
Real period |
R |
3.669065004135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bw1 118080bc2 19680bb1 |
Quadratic twists by: -4 8 -3 |