Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13266s |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1259617206672 = 24 · 313 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5315,140339] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:108:1] |
Generators of the group modulo torsion |
j |
22773479163625/1727869968 |
j-invariant |
L |
7.4337544751886 |
L(r)(E,1)/r! |
Ω |
0.84295917256035 |
Real period |
R |
2.2046602958865 |
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 |
106128ba1 4422e1 |
Quadratic twists by: -4 -3 |