Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920h |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
4.6947941136461E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-915318,70235883] |
[a1,a2,a3,a4,a6] |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
0.69920002605586 |
L(r)(E,1)/r! |
Ω |
0.17480000652232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960s1 4880b1 |
Quadratic twists by: -4 -3 |