Atkin-Lehner |
2- 3+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486k |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
50392188 = 22 · 32 · 74 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111937,14368163] |
[a1,a2,a3,a4,a6] |
j |
155111838155625938833/50392188 |
j-invariant |
L |
4.7780932134979 |
L(r)(E,1)/r! |
Ω |
1.1945233033745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73458o4 |
Quadratic twists by: -3 |