Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bk |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1239257812500 = 22 · 33 · 512 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75005,-7887503] |
[a1,a2,a3,a4,a6] |
j |
110612737296027/2937500 |
j-invariant |
L |
4.6158121698206 |
L(r)(E,1)/r! |
Ω |
0.28848826061379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21150e2 4230b2 |
Quadratic twists by: -3 5 |