Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
23744q |
Isogeny class |
Conductor |
23744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-697126879232 = -1 · 228 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 6 -5 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,41183] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:224:1] |
Generators of the group modulo torsion |
j |
-304821217/2659328 |
j-invariant |
L |
7.5874376602874 |
L(r)(E,1)/r! |
Ω |
0.77420540804304 |
Real period |
R |
2.4500725458203 |
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 |
23744bb1 742g1 |
Quadratic twists by: -4 8 |