Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cy |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7936128000000 = -1 · 213 · 32 · 56 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2192,130388] |
[a1,a2,a3,a4,a6] |
Generators |
[2676:31150:27] |
Generators of the group modulo torsion |
j |
18191447/124002 |
j-invariant |
L |
10.440593438794 |
L(r)(E,1)/r! |
Ω |
0.53691462218453 |
Real period |
R |
4.8613843806922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450r2 3984d2 |
Quadratic twists by: -4 5 |