Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960v |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
94012416000000 = 216 · 32 · 56 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17601,762399] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1287:1] [45:252:1] |
Generators of the group modulo torsion |
j |
9201963038404/1434515625 |
j-invariant |
L |
12.891470158997 |
L(r)(E,1)/r! |
Ω |
0.57573130725583 |
Real period |
R |
11.195734883156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992702 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96960bs2 12120d2 |
Quadratic twists by: -4 8 |