Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280fx |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
325425600 = 26 · 38 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,2104] |
[a1,a2,a3,a4,a6] |
Generators |
[44:270:1] |
Generators of the group modulo torsion |
j |
82881856/6975 |
j-invariant |
L |
7.2982215795154 |
L(r)(E,1)/r! |
Ω |
1.6736286174484 |
Real period |
R |
2.1803587443361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fg1 44640bn2 29760co1 |
Quadratic twists by: -4 8 -3 |