Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fu |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
296042397696000000 = 221 · 312 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-377292,-85272176] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:1980:1] |
Generators of the group modulo torsion |
j |
31080575499121/1549125000 |
j-invariant |
L |
6.3762449532924 |
L(r)(E,1)/r! |
Ω |
0.19322884771745 |
Real period |
R |
2.7498675916326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960da2 12240bs2 16320cl2 |
Quadratic twists by: -4 8 -3 |