Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024w |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-27721728 = -1 · 216 · 32 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31,255] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
48668/423 |
j-invariant |
L |
4.8833939226665 |
L(r)(E,1)/r! |
Ω |
1.5410136391268 |
Real period |
R |
1.5844745947329 |
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 |
9024be1 1128c1 27072n1 |
Quadratic twists by: -4 8 -3 |