Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850r |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
184516905690000000 = 27 · 310 · 57 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14426776,-21092427802] |
[a1,a2,a3,a4,a6] |
Generators |
[-2192:1154:1] |
Generators of the group modulo torsion |
j |
21252572623855044674929/11809081964160 |
j-invariant |
L |
5.6080203543963 |
L(r)(E,1)/r! |
Ω |
0.077465307755726 |
Real period |
R |
1.8098489880852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770q2 |
Quadratic twists by: 5 |