Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968n |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-3063808 = -1 · 214 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 0 -3 11+ 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,-288] |
[a1,a2,a3,a4,a6] |
j |
-3456000/187 |
j-invariant |
L |
0.79567014183153 |
L(r)(E,1)/r! |
Ω |
0.79567014183153 |
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 |
11968f1 2992c1 107712ex1 |
Quadratic twists by: -4 8 -3 |