Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
44992m |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13568 |
Modular degree for the optimal curve |
Δ |
23035904 = 215 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 -4 -1 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,-321] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-8:1] [-6:9:1] |
Generators of the group modulo torsion |
j |
3112136/703 |
j-invariant |
L |
4.1792743316164 |
L(r)(E,1)/r! |
Ω |
1.5445698086839 |
Real period |
R |
0.67644633284296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992u1 22496e1 |
Quadratic twists by: -4 8 |