Atkin-Lehner |
2+ 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082k |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-17319524365554516 = -1 · 22 · 36 · 78 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56016,8146116] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:3707:1] |
Generators of the group modulo torsion |
j |
-4625434177/4121204 |
j-invariant |
L |
4.2179275791738 |
L(r)(E,1)/r! |
Ω |
0.35593254417075 |
Real period |
R |
5.92517830387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005809 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9898c2 89082o2 |
Quadratic twists by: -3 -7 |