Atkin-Lehner |
3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775m |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-523288694091796875 = -1 · 36 · 512 · 113 · 472 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,94849,-32929927] |
[a1,a2,a3,a4,a6] |
Generators |
[261:2971:1] |
Generators of the group modulo torsion |
j |
6039605020633631/33490476421875 |
j-invariant |
L |
9.6801726078326 |
L(r)(E,1)/r! |
Ω |
0.1469936959287 |
Real period |
R |
1.8292871803245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325w2 7755d2 |
Quadratic twists by: -3 5 |