Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bd |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-407138918400000 = -1 · 216 · 39 · 55 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35681,-2781825] |
[a1,a2,a3,a4,a6] |
j |
-76659680596324/6212446875 |
j-invariant |
L |
3.1118647172543 |
L(r)(E,1)/r! |
Ω |
0.17288139652625 |
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 |
96960cc1 12120m1 |
Quadratic twists by: -4 8 |