Atkin-Lehner |
2- 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850cl |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
4399038583692187500 = 22 · 318 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-440063,49383117] |
[a1,a2,a3,a4,a6] |
Generators |
[-674:6655:1] |
Generators of the group modulo torsion |
j |
603181916895441961/281538469356300 |
j-invariant |
L |
10.554914990538 |
L(r)(E,1)/r! |
Ω |
0.21939308334247 |
Real period |
R |
1.3363779679659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770a2 |
Quadratic twists by: 5 |