Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bb |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-2.5591094398977E+25 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -2 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1070966550,-13492196207469] |
[a1,a2,a3,a4,a6] |
Generators |
[20208365:-90843989063:1] |
Generators of the group modulo torsion |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
4.1687355736262 |
L(r)(E,1)/r! |
Ω |
0.01319534270935 |
Real period |
R |
7.8981191800957 |
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 |
8925o1 5355n1 |
Quadratic twists by: -3 5 |