Atkin-Lehner |
2- 3+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
24486k |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21584311056 = 24 · 34 · 72 · 112 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6997,222251] |
[a1,a2,a3,a4,a6] |
j |
37884644225667793/21584311056 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73458o2 |
Quadratic twists by: -3 |