Atkin-Lehner |
7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24563g |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3777371594652498227 = 73 · 1114 · 29 |
Discriminant |
Eigenvalues |
1 0 -2 7- 11- -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6456038,-6311586979] |
[a1,a2,a3,a4,a6] |
Generators |
[-2529748680:-138144319:1728000] |
Generators of the group modulo torsion |
j |
16798320881842096017/2132227789307 |
j-invariant |
L |
4.3702575114819 |
L(r)(E,1)/r! |
Ω |
0.094713380967747 |
Real period |
R |
15.380640928903 |
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 |
2233a4 |
Quadratic twists by: -11 |