Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528b |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
62695424 = 211 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -3 -3 11+ -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-392,2836] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-66:1] [-14:76:1] |
Generators of the group modulo torsion |
j |
2450086/23 |
j-invariant |
L |
4.5616708656619 |
L(r)(E,1)/r! |
Ω |
1.9762961854056 |
Real period |
R |
0.28852398867058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22264a1 44528a1 |
Quadratic twists by: -4 -11 |