Atkin-Lehner |
2- 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890be |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1600843500000 = 25 · 34 · 56 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8701,305681] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:767:1] |
Generators of the group modulo torsion |
j |
72850802078810449/1600843500000 |
j-invariant |
L |
11.030605617765 |
L(r)(E,1)/r! |
Ω |
0.84364365328954 |
Real period |
R |
0.65374791683387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670v2 |
Quadratic twists by: -3 |