Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cz |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1234643731200 = -1 · 28 · 313 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2400,28460] |
[a1,a2,a3,a4,a6] |
Generators |
[46:486:1] |
Generators of the group modulo torsion |
j |
327680000/264627 |
j-invariant |
L |
6.3838015961357 |
L(r)(E,1)/r! |
Ω |
0.55649613898845 |
Real period |
R |
0.71696382383471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9900o1 13200bp1 39600em1 |
Quadratic twists by: -4 -3 5 |