Atkin-Lehner |
7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563g |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2566321648248644209 = 76 · 1110 · 292 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-438103,-80617080] |
[a1,a2,a3,a4,a6] |
Generators |
[-238520:-2293745:512] |
Generators of the group modulo torsion |
j |
5249244962308257/1448621666569 |
j-invariant |
L |
4.3702575114819 |
L(r)(E,1)/r! |
Ω |
0.18942676193549 |
Real period |
R |
7.6903204644515 |
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 |
2233a2 |
Quadratic twists by: -11 |