Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725k |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.5030122846365E+26 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-620023292,-5794240816259] |
[a1,a2,a3,a4,a6] |
Generators |
[-316106970742284323225576181899421594:-4255682687947138659280173185417476703:19925009061248086796107082867464] |
Generators of the group modulo torsion |
j |
1687049014375316674341017361/48019278621673583984375 |
j-invariant |
L |
5.5829893886641 |
L(r)(E,1)/r! |
Ω |
0.030307700201823 |
Real period |
R |
46.052565449425 |
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 |
6545f3 |
Quadratic twists by: 5 |