Atkin-Lehner |
2+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1600c |
Isogeny class |
Conductor |
1600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-209715200 = -1 · 223 · 52 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,1183] |
[a1,a2,a3,a4,a6] |
Generators |
[27:128:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
3.0954235363659 |
L(r)(E,1)/r! |
Ω |
1.6914192665888 |
Real period |
R |
0.45751866457815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1600q1 50b1 14400bh1 1600j3 |
Quadratic twists by: -4 8 -3 5 |