Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
28896c |
Isogeny class |
Conductor |
28896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
462336 = 29 · 3 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 6 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5976,-175836] |
[a1,a2,a3,a4,a6] |
j |
46106078848712/903 |
j-invariant |
L |
1.0859775509632 |
L(r)(E,1)/r! |
Ω |
0.54298877548272 |
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 |
28896s1 57792bc1 86688bk1 |
Quadratic twists by: -4 8 -3 |