Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770x |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
91543271040000 = 210 · 39 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11020291,-14085728287] |
[a1,a2,a3,a4,a6] |
Generators |
[13111:1440994:1] |
Generators of the group modulo torsion |
j |
148014036452141130164012209/91543271040000 |
j-invariant |
L |
4.654086269164 |
L(r)(E,1)/r! |
Ω |
0.082861213424911 |
Real period |
R |
5.6167247338003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bd1 83850u1 |
Quadratic twists by: -3 5 |