Atkin-Lehner |
2- 3+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
89460b |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
155580100704000 = 28 · 39 · 53 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13527,-80946] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:710:1] |
Generators of the group modulo torsion |
j |
54324648432/30876125 |
j-invariant |
L |
7.2621261774631 |
L(r)(E,1)/r! |
Ω |
0.47824328871271 |
Real period |
R |
0.84361132517692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89460a2 |
Quadratic twists by: -3 |