Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150cp |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2699487000 = 23 · 36 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1558,-23668] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:20:1] |
Generators of the group modulo torsion |
j |
3346058125493/21595896 |
j-invariant |
L |
9.4519744055111 |
L(r)(E,1)/r! |
Ω |
0.76019517793841 |
Real period |
R |
0.69075640629439 |
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 |
72450bw2 24150t2 |
Quadratic twists by: -3 5 |