Atkin-Lehner |
5+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20425a |
Isogeny class |
Conductor |
20425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-242546875 = -1 · 56 · 192 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 4 -5 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,17,743] |
[a1,a2,a3,a4,a6] |
Generators |
[3:28:1] |
Generators of the group modulo torsion |
j |
32768/15523 |
j-invariant |
L |
6.6739726679854 |
L(r)(E,1)/r! |
Ω |
1.3668866486875 |
Real period |
R |
1.2206521796072 |
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 |
817a1 |
Quadratic twists by: 5 |