Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bd |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2951864395785E+26 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159841341,-552408900408] |
[a1,a2,a3,a4,a6] |
Generators |
[1018721505508863073860328920956578970700:213460503226735031796673598549348216589921:21352569481729898871072020623000000] |
Generators of the group modulo torsion |
j |
5265932508006615127873/1510137598013239041 |
j-invariant |
L |
9.159488497407 |
L(r)(E,1)/r! |
Ω |
0.043387634587179 |
Real period |
R |
52.777067620914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27489r4 11781h3 |
Quadratic twists by: -3 -7 |