Atkin-Lehner |
2+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64856f |
Isogeny class |
Conductor |
64856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
173184 |
Modular degree for the optimal curve |
Δ |
-3676683526912 = -1 · 28 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ 2 4 -4 11- -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,-92332] |
[a1,a2,a3,a4,a6] |
Generators |
[579544310:1565669244:12977875] |
Generators of the group modulo torsion |
j |
176/67 |
j-invariant |
L |
10.770452292899 |
L(r)(E,1)/r! |
Ω |
0.36935448980596 |
Real period |
R |
14.580102029752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129712g1 64856l1 |
Quadratic twists by: -4 -11 |