Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bu |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-495117204480 = -1 · 210 · 39 · 5 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 3 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3108,74792] |
[a1,a2,a3,a4,a6] |
j |
-4447738624/663255 |
j-invariant |
L |
3.5982612307328 |
L(r)(E,1)/r! |
Ω |
0.89956530753303 |
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 |
48960eo1 3060m1 16320u1 |
Quadratic twists by: -4 8 -3 |