Atkin-Lehner |
2+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320p |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-370022912000000 = -1 · 215 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 3 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,-926224] |
[a1,a2,a3,a4,a6] |
j |
-30900024072/11292203125 |
j-invariant |
L |
5.7710785029587 |
L(r)(E,1)/r! |
Ω |
0.24046160603757 |
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 |
96320be1 48160i1 |
Quadratic twists by: -4 8 |