Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150ca |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
2331565251750000000 = 27 · 32 · 59 · 7 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-692388,-209520219] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:3393:1] |
Generators of the group modulo torsion |
j |
18794999107081133/1193761408896 |
j-invariant |
L |
7.4253809378861 |
L(r)(E,1)/r! |
Ω |
0.16616444171509 |
Real period |
R |
1.0639748336682 |
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 |
72450cc2 24150bi2 |
Quadratic twists by: -3 5 |