Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944n |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-336669696 = -1 · 210 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11+ -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-1118] |
[a1,a2,a3,a4,a6] |
Generators |
[17:36:1] |
Generators of the group modulo torsion |
j |
-470596/451 |
j-invariant |
L |
5.6743711766686 |
L(r)(E,1)/r! |
Ω |
0.65974186536053 |
Real period |
R |
1.0751120011345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32472s1 7216c1 |
Quadratic twists by: -4 -3 |