Atkin-Lehner |
2+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77326a |
Isogeny class |
Conductor |
77326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1381701482637261056 = 28 · 238 · 413 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 2 -4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-295009,24479925] |
[a1,a2,a3,a4,a6] |
Generators |
[-10805408832855:-442683533300107:50858627625] |
Generators of the group modulo torsion |
j |
41198389432097633/20047612231936 |
j-invariant |
L |
8.0175810872475 |
L(r)(E,1)/r! |
Ω |
0.24031517216249 |
Real period |
R |
16.681387639085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77326b2 |
Quadratic twists by: 41 |