Atkin-Lehner |
2+ 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32160b |
Isogeny class |
Conductor |
32160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1543680000 = -1 · 212 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1021,13045] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-75:1] [-29:132:1] |
Generators of the group modulo torsion |
j |
-28765126144/376875 |
j-invariant |
L |
6.6990957179255 |
L(r)(E,1)/r! |
Ω |
1.5112470068866 |
Real period |
R |
0.55410330735138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32160t1 64320bm1 96480bf1 |
Quadratic twists by: -4 8 -3 |