Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040cw |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4589445120 = -1 · 213 · 3 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,-3820] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1794:1] |
Generators of the group modulo torsion |
j |
-594823321/1120470 |
j-invariant |
L |
8.7988501770006 |
L(r)(E,1)/r! |
Ω |
0.54937983201686 |
Real period |
R |
2.6693281115105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630g1 |
Quadratic twists by: -4 |