Atkin-Lehner |
5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15895f |
Isogeny class |
Conductor |
15895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-112843135075 = -1 · 52 · 11 · 177 |
Discriminant |
Eigenvalues |
0 2 5- -3 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385,-16294] |
[a1,a2,a3,a4,a6] |
j |
-262144/4675 |
j-invariant |
L |
1.8124837603818 |
L(r)(E,1)/r! |
Ω |
0.45312094009545 |
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 |
79475c1 935a1 |
Quadratic twists by: 5 17 |