Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16606c |
Isogeny class |
Conductor |
16606 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41040 |
Modular degree for the optimal curve |
Δ |
-781243899886 = -1 · 2 · 198 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -3 2 -3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6145,189690] |
[a1,a2,a3,a4,a6] |
Generators |
[22:244:1] |
Generators of the group modulo torsion |
j |
-1510633/46 |
j-invariant |
L |
1.2067663793119 |
L(r)(E,1)/r! |
Ω |
0.89280080506125 |
Real period |
R |
4.0549908976475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16606m1 |
Quadratic twists by: -19 |