Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bm |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4242949300813824 = 221 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137089,-19238111] |
[a1,a2,a3,a4,a6] |
Generators |
[-10361052:21098105:46656] |
Generators of the group modulo torsion |
j |
1086913000972513/16185567096 |
j-invariant |
L |
3.041187900784 |
L(r)(E,1)/r! |
Ω |
0.24833640051241 |
Real period |
R |
12.246242977304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9024o4 2256p3 27072cd3 |
Quadratic twists by: -4 8 -3 |