Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
85696o |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
105891385360384 = 214 · 137 · 103 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 -2 13+ 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-154097,-23329201] |
[a1,a2,a3,a4,a6] |
j |
24699555786200272/6463097251 |
j-invariant |
L |
0.96386802775352 |
L(r)(E,1)/r! |
Ω |
0.24096701257618 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696bk1 5356b1 |
Quadratic twists by: -4 8 |