Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950cw |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
103808250000 = 24 · 33 · 56 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23930,1430697] |
[a1,a2,a3,a4,a6] |
j |
3592121380875/246064 |
j-invariant |
L |
4.0312106562998 |
L(r)(E,1)/r! |
Ω |
1.0078026641018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40950b3 1638c1 |
Quadratic twists by: -3 5 |