Atkin-Lehner |
2+ 3+ 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
40170c |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
5.3238825882363E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-942507,-28656099] |
[a1,a2,a3,a4,a6] |
j |
92593006371868013165881/53238825882363420000 |
j-invariant |
L |
1.3327704212753 |
L(r)(E,1)/r! |
Ω |
0.16659630266615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510x1 |
Quadratic twists by: -3 |