Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150j |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7982609800781250000 = 24 · 39 · 512 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5980203042,-177999326981884] |
[a1,a2,a3,a4,a6] |
j |
76905992693995247678751387/25955750000 |
j-invariant |
L |
1.8541477043373 |
L(r)(E,1)/r! |
Ω |
0.017168034299419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21150bp2 4230x4 |
Quadratic twists by: -3 5 |