Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9078f |
Isogeny class |
Conductor |
9078 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
54873248891904 = 210 · 34 · 174 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10284,-188979] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:281:1] [-69:479:1] |
Generators of the group modulo torsion |
j |
120285299923667137/54873248891904 |
j-invariant |
L |
6.0407219572013 |
L(r)(E,1)/r! |
Ω |
0.49502471483744 |
Real period |
R |
1.2202869424785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72624ba2 27234b2 |
Quadratic twists by: -4 -3 |