Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576do |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-25467813888 = -1 · 225 · 3 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,671,-3553] |
[a1,a2,a3,a4,a6] |
j |
127263527/97152 |
j-invariant |
L |
1.3312026343805 |
L(r)(E,1)/r! |
Ω |
0.66560131693565 |
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 |
48576m1 12144q1 |
Quadratic twists by: -4 8 |