Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968o |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-52084736 = -1 · 214 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3 -3 2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1984,34016] |
[a1,a2,a3,a4,a6] |
j |
-52714340352/3179 |
j-invariant |
L |
3.7852536905595 |
L(r)(E,1)/r! |
Ω |
1.8926268452797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11968h1 2992h1 107712fh1 |
Quadratic twists by: -4 8 -3 |