Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350cu |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1981526976000000 = -1 · 212 · 39 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7720,-2127653] |
[a1,a2,a3,a4,a6] |
Generators |
[269:-4535:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
11.293626400832 |
L(r)(E,1)/r! |
Ω |
0.22415528355519 |
Real period |
R |
1.0496468323998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350n1 2574a1 |
Quadratic twists by: -3 5 |