Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960x |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
43155929502720 = 210 · 34 · 5 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14141,-569565] |
[a1,a2,a3,a4,a6] |
j |
305418144004096/42144462405 |
j-invariant |
L |
1.7672407690852 |
L(r)(E,1)/r! |
Ω |
0.44181018931684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960bt1 12120e1 |
Quadratic twists by: -4 8 |