Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280eh |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-28436122828800000 = -1 · 227 · 37 · 55 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117228,-17449648] |
[a1,a2,a3,a4,a6] |
Generators |
[10444:1066752:1] |
Generators of the group modulo torsion |
j |
-932288503609/148800000 |
j-invariant |
L |
7.372831664591 |
L(r)(E,1)/r! |
Ω |
0.12788473702051 |
Real period |
R |
7.2065203302078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280bs1 22320bw1 29760by1 |
Quadratic twists by: -4 8 -3 |