Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160k |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1472256000000 = -1 · 214 · 34 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15,-58383] |
[a1,a2,a3,a4,a6] |
Generators |
[48:225:1] [49:240:1] |
Generators of the group modulo torsion |
j |
21296/89859375 |
j-invariant |
L |
8.95873351698 |
L(r)(E,1)/r! |
Ω |
0.39032262909816 |
Real period |
R |
1.9126770285869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dl2 8520h2 |
Quadratic twists by: -4 8 |