Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320s |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-5297241246740064000 = -1 · 28 · 33 · 53 · 1910 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232364,101919940] |
[a1,a2,a3,a4,a6] |
Generators |
[8103:380494:27] |
Generators of the group modulo torsion |
j |
115203799856/439833375 |
j-invariant |
L |
4.1437553276761 |
L(r)(E,1)/r! |
Ω |
0.17203462396807 |
Real period |
R |
6.0216880068896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640r1 129960bi1 2280c1 |
Quadratic twists by: -4 -3 -19 |