Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992i |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
648418498430976 = 211 · 35 · 74 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199752,-34274160] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:140:1] |
Generators of the group modulo torsion |
j |
430397106556055186/316610594937 |
j-invariant |
L |
6.6266300958593 |
L(r)(E,1)/r! |
Ω |
0.22583734890251 |
Real period |
R |
1.8339056083127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496o4 |
Quadratic twists by: -4 |