Atkin-Lehner |
2+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600k |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-12800000000 = -1 · 215 · 58 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 -5 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-10463] |
[a1,a2,a3,a4,a6] |
j |
-5000 |
j-invariant |
L |
0.87910413022371 |
L(r)(E,1)/r! |
Ω |
0.43955206511186 |
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 |
1600i1 800e1 14400ci1 1600b1 |
Quadratic twists by: -4 8 -3 5 |