Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350do |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-3257718750 = -1 · 2 · 36 · 56 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,2747] |
[a1,a2,a3,a4,a6] |
Generators |
[-780:2257:64] |
Generators of the group modulo torsion |
j |
-1/286 |
j-invariant |
L |
10.933142233515 |
L(r)(E,1)/r! |
Ω |
1.1268583355694 |
Real period |
R |
4.8511609169044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150h1 2574i1 |
Quadratic twists by: -3 5 |