Atkin-Lehner |
2+ 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650w |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.9749435424805E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8595376,-9697771102] |
[a1,a2,a3,a4,a6] |
Generators |
[-1703:2201:1] |
Generators of the group modulo torsion |
j |
4494674558942130040561/1263963867187500 |
j-invariant |
L |
4.3654475313775 |
L(r)(E,1)/r! |
Ω |
0.088174025787246 |
Real period |
R |
3.0943406324061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530x3 |
Quadratic twists by: 5 |