Atkin-Lehner |
2- 3- |
Signs for the Atkin-Lehner involutions |
Class |
576i |
Isogeny class |
Conductor |
576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-2239488 = -1 · 210 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,56] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
1.9003720950219 |
L(r)(E,1)/r! |
Ω |
1.7607876529006 |
Real period |
R |
0.53963693233859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
576d1 144b1 192d1 14400ds1 |
Quadratic twists by: -4 8 -3 5 |