Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336x |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
316248312599296 = 28 · 79 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20284,716972] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1342:1] |
Generators of the group modulo torsion |
j |
3605503844327632/1235344971091 |
j-invariant |
L |
5.5460322859616 |
L(r)(E,1)/r! |
Ω |
0.4998238667485 |
Real period |
R |
3.6986577705463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084f2 113344ci2 |
Quadratic twists by: -4 8 |