Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768cg |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1540767744 = -1 · 214 · 37 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 1 1 -7 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-2032] |
[a1,a2,a3,a4,a6] |
Generators |
[22:72:1] |
Generators of the group modulo torsion |
j |
-35152/129 |
j-invariant |
L |
6.7646930736488 |
L(r)(E,1)/r! |
Ω |
0.61880494935934 |
Real period |
R |
0.68324165399901 |
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 |
24768bh1 6192z1 8256bh1 |
Quadratic twists by: -4 8 -3 |