Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11968c |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-11968 = -1 · 26 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -2 -1 11+ 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
512/187 |
j-invariant |
L |
2.4015555972738 |
L(r)(E,1)/r! |
Ω |
1.8830486678609 |
Real period |
R |
1.2753550337082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11968g1 5984d1 107712cg1 |
Quadratic twists by: -4 8 -3 |