Atkin-Lehner |
2- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472i |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-283804825001984 = -1 · 213 · 112 · 133 · 194 |
Discriminant |
Eigenvalues |
2- 1 -1 3 11+ 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22296,-1523692] |
[a1,a2,a3,a4,a6] |
j |
-299270638153369/69288287354 |
j-invariant |
L |
3.0876442590257 |
L(r)(E,1)/r! |
Ω |
0.19297776619229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434g1 |
Quadratic twists by: -4 |