Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
69776s |
Isogeny class |
Conductor |
69776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0148148846863E+27 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8380132504,-295266708395280] |
[a1,a2,a3,a4,a6] |
Generators |
[-1533992595853850155034097752210043234582581830779652876350439439903338043958:393441136021127031239470847100183237436446609387082402275677502226263899714:29109515002541537732188875631633557231398921860225377658579500827471889] |
Generators of the group modulo torsion |
j |
135060446446118862609055753/2105904344334476168 |
j-invariant |
L |
7.0784894878308 |
L(r)(E,1)/r! |
Ω |
0.015779282066295 |
Real period |
R |
112.14847193446 |
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 |
8722j2 9968o2 |
Quadratic twists by: -4 -7 |