Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10406k |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-7096555012096 = -1 · 218 · 114 · 432 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 11- -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4177,164649] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:171:1] [-56:501:1] |
Generators of the group modulo torsion |
j |
-550494387553/484704256 |
j-invariant |
L |
5.3147814818899 |
L(r)(E,1)/r! |
Ω |
0.68207136017963 |
Real period |
R |
0.64934328382816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
83248bf1 93654v1 10406c1 |
Quadratic twists by: -4 -3 -11 |