Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296d |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
31952448 = 26 · 33 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-382,2992] |
[a1,a2,a3,a4,a6] |
j |
96576225472/499257 |
j-invariant |
L |
2.0916754891828 |
L(r)(E,1)/r! |
Ω |
2.0916754891428 |
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 |
43296r1 86592dp2 129888bg1 |
Quadratic twists by: -4 8 -3 |