Atkin-Lehner |
2+ 3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966c |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
224081034768 = 24 · 312 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10206,-393660] |
[a1,a2,a3,a4,a6] |
j |
161282338400737/307381392 |
j-invariant |
L |
1.9001740492696 |
L(r)(E,1)/r! |
Ω |
0.47504351231744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322h1 |
Quadratic twists by: -3 |