Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800p |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
899891200 = 214 · 52 · 133 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400,2720] |
[a1,a2,a3,a4,a6] |
Generators |
[-573:1097:27] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
8.6569911729945 |
L(r)(E,1)/r! |
Ω |
1.5191221603991 |
Real period |
R |
5.6986800658085 |
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 |
20800ct1 2600k1 20800cd1 |
Quadratic twists by: -4 8 5 |