Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950dl |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
9510359040000000 = 218 · 36 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269105,-53459103] |
[a1,a2,a3,a4,a6] |
Generators |
[-301:600:1] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
8.79611238561 |
L(r)(E,1)/r! |
Ω |
0.20966915626204 |
Real period |
R |
1.1653428645001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550c1 8190x1 |
Quadratic twists by: -3 5 |