Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11696j |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
2059993088 = 216 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 0 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-923,10570] |
[a1,a2,a3,a4,a6] |
Generators |
[15:10:1] |
Generators of the group modulo torsion |
j |
21230922609/502928 |
j-invariant |
L |
5.9053729615242 |
L(r)(E,1)/r! |
Ω |
1.4678664333196 |
Real period |
R |
2.0115498343297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1462b1 46784s1 105264cb1 |
Quadratic twists by: -4 8 -3 |