Atkin-Lehner |
2- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64856g |
Isogeny class |
Conductor |
64856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
91317248 = 210 · 113 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 0 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:429:8] |
Generators of the group modulo torsion |
j |
1687500/67 |
j-invariant |
L |
6.4594929411816 |
L(r)(E,1)/r! |
Ω |
1.8898647830846 |
Real period |
R |
3.4179656654656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129712a1 64856a1 |
Quadratic twists by: -4 -11 |