Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bh |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18544779513225 = 38 · 52 · 76 · 312 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,13243] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:491:1] |
Generators of the group modulo torsion |
j |
374805361/216225 |
j-invariant |
L |
8.2712372482416 |
L(r)(E,1)/r! |
Ω |
0.58569715976324 |
Real period |
R |
3.5305093728016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994827 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22785e2 1395a2 |
Quadratic twists by: -3 -7 |