Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320bg |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-63124275200 = -1 · 223 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9121,-332479] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/240800 |
j-invariant |
L |
0.97700194381294 |
L(r)(E,1)/r! |
Ω |
0.24425045848456 |
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 |
96320j1 24080m1 |
Quadratic twists by: -4 8 |