Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090w |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
63915138787500000 = 25 · 36 · 58 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-510090,-139566700] |
[a1,a2,a3,a4,a6] |
Generators |
[-427:714:1] |
Generators of the group modulo torsion |
j |
20134325779217044641/87675087500000 |
j-invariant |
L |
3.534646203842 |
L(r)(E,1)/r! |
Ω |
0.17869055379128 |
Real period |
R |
1.6484019106695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010y2 |
Quadratic twists by: -3 |