Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640i |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
639014400 = 29 · 33 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] |
Generators of the group modulo torsion |
j |
2186875592/1248075 |
j-invariant |
L |
4.7477185872762 |
L(r)(E,1)/r! |
Ω |
1.3474053612274 |
Real period |
R |
0.58726679734441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20640o2 41280r2 61920cf2 103200bp2 |
Quadratic twists by: -4 8 -3 5 |