Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950bz |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3714984000 = 26 · 36 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-477,-2619] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:39:1] |
Generators of the group modulo torsion |
j |
131872229/40768 |
j-invariant |
L |
4.1826083842931 |
L(r)(E,1)/r! |
Ω |
1.0461443318157 |
Real period |
R |
0.99952947626059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550x1 40950fm1 |
Quadratic twists by: -3 5 |