Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160m |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-420506198760600000 = -1 · 26 · 322 · 55 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48306,31481856] |
[a1,a2,a3,a4,a6] |
Generators |
[3559204481:-78370556718:8365427] |
Generators of the group modulo torsion |
j |
-194785201824227776/6570409355634375 |
j-invariant |
L |
4.2593499739998 |
L(r)(E,1)/r! |
Ω |
0.24886061089742 |
Real period |
R |
17.115404316657 |
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 |
32160e1 64320bh1 96480o1 |
Quadratic twists by: -4 8 -3 |