Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cu |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
460450980000000 = 28 · 38 · 57 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19938,327492] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:744:1] |
Generators of the group modulo torsion |
j |
56098315742041/29468862720 |
j-invariant |
L |
9.9716030894333 |
L(r)(E,1)/r! |
Ω |
0.46258763513722 |
Real period |
R |
0.6736293252893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570e1 |
Quadratic twists by: 5 |