Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466ck |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-210951651456 = -1 · 27 · 37 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27887,1799543] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1654:1] |
Generators of the group modulo torsion |
j |
-9591639636223/843648 |
j-invariant |
L |
7.0416793252582 |
L(r)(E,1)/r! |
Ω |
0.95527332368478 |
Real period |
R |
0.043877241046326 |
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 |
91728fh1 3822o1 11466bx1 |
Quadratic twists by: -4 -3 -7 |