Atkin-Lehner |
2- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154j |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-6780564799440896 = -1 · 211 · 17 · 417 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 -3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79042,9419716] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:2384:1] [222:1570:1] |
Generators of the group modulo torsion |
j |
-11497268593/1427456 |
j-invariant |
L |
13.283495347747 |
L(r)(E,1)/r! |
Ω |
0.40862428144993 |
Real period |
R |
0.73881468929979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1394h1 |
Quadratic twists by: 41 |