Atkin-Lehner |
2- 3+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608n |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55290359951824896 = 211 · 33 · 296 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-190779,-30011850] |
[a1,a2,a3,a4,a6] |
Generators |
[13231413801034:1461410778334430:1083206683] |
Generators of the group modulo torsion |
j |
13887424144198278/999898002601 |
j-invariant |
L |
9.8410913920906 |
L(r)(E,1)/r! |
Ω |
0.22947477925401 |
Real period |
R |
21.442642671611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85608c2 |
Quadratic twists by: -3 |