Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
32160a |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-28133568000 = -1 · 29 · 38 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,744,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[21:162:1] |
Generators of the group modulo torsion |
j |
88835939128/54948375 |
j-invariant |
L |
2.2286729068754 |
L(r)(E,1)/r! |
Ω |
0.73080434178615 |
Real period |
R |
1.5248082006658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32160h1 64320cx1 96480be1 |
Quadratic twists by: -4 8 -3 |