Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bm |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
243156369014784 = 224 · 38 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16769,374049] |
[a1,a2,a3,a4,a6] |
Generators |
[-7740:50337:64] |
Generators of the group modulo torsion |
j |
1989441544033/927567936 |
j-invariant |
L |
3.041187900784 |
L(r)(E,1)/r! |
Ω |
0.49667280102482 |
Real period |
R |
6.1231214886519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9024o2 2256p2 27072cd2 |
Quadratic twists by: -4 8 -3 |