Atkin-Lehner |
3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963t |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
774394570689597 = 310 · 11 · 137 · 19 |
Discriminant |
Eigenvalues |
2 3- 0 5 11- 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33518,-1957003] |
[a1,a2,a3,a4,a6] |
Generators |
[-8636:22783:64] |
Generators of the group modulo torsion |
j |
862801408000/160436133 |
j-invariant |
L |
21.178393507475 |
L(r)(E,1)/r! |
Ω |
0.35737423179034 |
Real period |
R |
2.9630554761732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151d1 |
Quadratic twists by: 13 |