Atkin-Lehner |
5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
21775h |
Isogeny class |
Conductor |
21775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-48587169921875 = -1 · 59 · 135 · 67 |
Discriminant |
Eigenvalues |
0 3 5- 2 -5 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10750,544531] |
[a1,a2,a3,a4,a6] |
Generators |
[25275:768799:27] |
Generators of the group modulo torsion |
j |
-70342705152/24876631 |
j-invariant |
L |
7.9667448132065 |
L(r)(E,1)/r! |
Ω |
0.59868239677979 |
Real period |
R |
6.6535652760614 |
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 |
21775i1 |
Quadratic twists by: 5 |