Atkin-Lehner |
2- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472m |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-73184623722496 = -1 · 223 · 11 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11+ 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169547,-26874118] |
[a1,a2,a3,a4,a6] |
Generators |
[517:4864:1] |
Generators of the group modulo torsion |
j |
-131593395518018721/17867339776 |
j-invariant |
L |
5.256109544852 |
L(r)(E,1)/r! |
Ω |
0.11763687901585 |
Real period |
R |
1.8616998869832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434i1 |
Quadratic twists by: -4 |