Atkin-Lehner |
2+ 3- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170j |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5359592071350 = 2 · 36 · 52 · 116 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6720,-178750] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:130:1] |
Generators of the group modulo torsion |
j |
46040534328321/7351978150 |
j-invariant |
L |
4.7436308080608 |
L(r)(E,1)/r! |
Ω |
0.53298396904396 |
Real period |
R |
2.2250344677596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9130h2 |
Quadratic twists by: -3 |