Atkin-Lehner |
2- 7- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89474k |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2864963922128 = 24 · 73 · 11 · 834 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5566,135211] |
[a1,a2,a3,a4,a6] |
j |
55598628003463/8352664496 |
j-invariant |
L |
12.338869661574 |
L(r)(E,1)/r! |
Ω |
0.77117935255244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89474n2 |
Quadratic twists by: -7 |