Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bd |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-8230256640 = -1 · 214 · 33 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1947,33354] |
[a1,a2,a3,a4,a6] |
Generators |
[10:122:1] |
Generators of the group modulo torsion |
j |
-7380705123/74420 |
j-invariant |
L |
7.3945211860093 |
L(r)(E,1)/r! |
Ω |
1.3160488671816 |
Real period |
R |
1.4046821076339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5490o1 43920y1 |
Quadratic twists by: -4 -3 |