Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296r |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
12 |
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 |
3.2400030450857 |
L(r)(E,1)/r! |
Ω |
1.080001015048 |
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 |
43296d1 86592ca2 129888s1 |
Quadratic twists by: -4 8 -3 |