Atkin-Lehner |
2+ 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690j |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-115780151040 = -1 · 28 · 3 · 5 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1429,26336] |
[a1,a2,a3,a4,a6] |
j |
-322391399464009/115780151040 |
j-invariant |
L |
1.9796573429209 |
L(r)(E,1)/r! |
Ω |
0.98982867146046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520bh1 29070bm1 48450bg1 |
Quadratic twists by: -4 -3 5 |