Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1008i |
Isogeny class |
Conductor |
1008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
74912366592 = 221 · 36 · 72 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393195,-94898662] |
[a1,a2,a3,a4,a6] |
Generators |
[821:11648:1] |
Generators of the group modulo torsion |
j |
2251439055699625/25088 |
j-invariant |
L |
2.4075899134388 |
L(r)(E,1)/r! |
Ω |
0.19065471861532 |
Real period |
R |
3.1570027887647 |
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 |
126a6 4032z6 112c6 25200eh6 |
Quadratic twists by: -4 8 -3 5 |