Atkin-Lehner |
2+ 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650z |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1935120816000 = 27 · 32 · 53 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64591,6312578] |
[a1,a2,a3,a4,a6] |
Generators |
[112:641:1] |
Generators of the group modulo torsion |
j |
238407579655788509/15480966528 |
j-invariant |
L |
4.897507577254 |
L(r)(E,1)/r! |
Ω |
0.78881069247748 |
Real period |
R |
3.1043618098743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650bs2 |
Quadratic twists by: 5 |