Atkin-Lehner |
2+ 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302m |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-15401868768 = -1 · 25 · 311 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 11- 13- 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,598,-1924] |
[a1,a2,a3,a4,a6] |
Generators |
[18:112:1] |
Generators of the group modulo torsion |
j |
23706684676583/15401868768 |
j-invariant |
L |
4.473752092366 |
L(r)(E,1)/r! |
Ω |
0.71047341214418 |
Real period |
R |
0.57244187990402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48906bm1 |
Quadratic twists by: -3 |