Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24864z |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-397824 = -1 · 29 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,24] |
[a1,a2,a3,a4,a6] |
j |
830584/777 |
j-invariant |
L |
3.92757105432 |
L(r)(E,1)/r! |
Ω |
1.96378552716 |
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 |
24864c1 49728be1 74592q1 |
Quadratic twists by: -4 8 -3 |