Atkin-Lehner |
3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
44055h |
Isogeny class |
Conductor |
44055 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4906625625 = 36 · 54 · 112 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,8984] |
[a1,a2,a3,a4,a6] |
Generators |
[22:16:1] |
Generators of the group modulo torsion |
j |
90458382169/6730625 |
j-invariant |
L |
3.5248397467958 |
L(r)(E,1)/r! |
Ω |
1.3390586206782 |
Real period |
R |
0.65808167252146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895c1 |
Quadratic twists by: -3 |