Atkin-Lehner |
3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963s |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
569708075500027893 = 32 · 11 · 1313 · 19 |
Discriminant |
Eigenvalues |
-2 3- 0 -1 11+ 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-221108,-16886632] |
[a1,a2,a3,a4,a6] |
Generators |
[-269:4816:1] |
Generators of the group modulo torsion |
j |
247673152000000/118029960477 |
j-invariant |
L |
2.8925564553811 |
L(r)(E,1)/r! |
Ω |
0.23075529770727 |
Real period |
R |
3.1337920207897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151h1 |
Quadratic twists by: 13 |