Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ce |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9591773685350400 = 219 · 316 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89868,-9237008] |
[a1,a2,a3,a4,a6] |
Generators |
[-1742:675:8] |
Generators of the group modulo torsion |
j |
420021471169/50191650 |
j-invariant |
L |
5.4663271411299 |
L(r)(E,1)/r! |
Ω |
0.27789369168304 |
Real period |
R |
4.9176423437484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ex2 1530h2 16320bj2 |
Quadratic twists by: -4 8 -3 |