Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bh |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
4 |
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 |
[8:36:1] |
Generators of the group modulo torsion |
j |
-35152/129 |
j-invariant |
L |
6.1020627772083 |
L(r)(E,1)/r! |
Ω |
1.3174239945124 |
Real period |
R |
1.1579534763724 |
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 |
24768cg1 1548a1 8256z1 |
Quadratic twists by: -4 8 -3 |