Atkin-Lehner |
2+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1600j |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-327680000 = -1 · 219 · 54 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 3 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-863] |
[a1,a2,a3,a4,a6] |
j |
-25/2 |
j-invariant |
L |
1.5128513834182 |
L(r)(E,1)/r! |
Ω |
0.75642569170909 |
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 |
1600v1 50a1 14400cc1 1600c3 |
Quadratic twists by: -4 8 -3 5 |