Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606a |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
123120 |
Modular degree for the optimal curve |
Δ |
-9505394529912962 = -1 · 2 · 198 · 234 |
Discriminant |
Eigenvalues |
2+ -1 2 -2 -3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6144,-4696982] |
[a1,a2,a3,a4,a6] |
Generators |
[41342:2951251:8] |
Generators of the group modulo torsion |
j |
-1510633/559682 |
j-invariant |
L |
2.5033415083562 |
L(r)(E,1)/r! |
Ω |
0.18349031744985 |
Real period |
R |
6.8214539686553 |
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 |
16606l1 |
Quadratic twists by: -19 |