Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960es |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1713208320 = -1 · 210 · 39 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,2392] |
[a1,a2,a3,a4,a6] |
j |
-1755904/2295 |
j-invariant |
L |
2.6954317712546 |
L(r)(E,1)/r! |
Ω |
1.3477158855449 |
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 |
48960cc1 12240cf1 16320ct1 |
Quadratic twists by: -4 8 -3 |