Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bb |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
2359545552 = 24 · 38 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7519,248450] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:273:1] [-58:702:1] |
Generators of the group modulo torsion |
j |
2938608579868672/147471597 |
j-invariant |
L |
9.3182862434672 |
L(r)(E,1)/r! |
Ω |
1.3714501664399 |
Real period |
R |
3.3972383654507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992k1 124488o1 |
Quadratic twists by: -4 -3 |