Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960dq |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-8566041600 = -1 · 210 · 39 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,2808] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:44:1] |
Generators of the group modulo torsion |
j |
442368/425 |
j-invariant |
L |
4.2769968884034 |
L(r)(E,1)/r! |
Ω |
0.85720443857562 |
Real period |
R |
2.4947356172741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960n1 12240bl1 48960dt1 |
Quadratic twists by: -4 8 -3 |