Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450u |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-165902343750000 = -1 · 24 · 33 · 512 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45651,-3808802] |
[a1,a2,a3,a4,a6] |
j |
-673350049820449/10617750000 |
j-invariant |
L |
1.9578639967487 |
L(r)(E,1)/r! |
Ω |
0.16315533306239 |
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 |
64350eh1 4290r1 |
Quadratic twists by: -3 5 |