Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
24156d |
Isogeny class |
Conductor |
24156 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4019133287788616448 = 28 · 39 · 118 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-404055,-21661506] |
[a1,a2,a3,a4,a6] |
j |
1447817795478000/797629396201 |
j-invariant |
L |
1.6207404498072 |
L(r)(E,1)/r! |
Ω |
0.20259255622591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624v2 24156b2 |
Quadratic twists by: -4 -3 |