Atkin-Lehner |
3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9555a |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3864 |
Modular degree for the optimal curve |
Δ |
-1124136195 = -1 · 3 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 1 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,229,-988] |
[a1,a2,a3,a4,a6] |
j |
229376/195 |
j-invariant |
L |
0.85340147775961 |
L(r)(E,1)/r! |
Ω |
0.85340147775961 |
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 |
28665bk1 47775bu1 9555t1 124215w1 |
Quadratic twists by: -3 5 -7 13 |