Atkin-Lehner |
3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11385m |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-596538421875 = -1 · 38 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1089,-39380] |
[a1,a2,a3,a4,a6] |
Generators |
[56:242:1] |
Generators of the group modulo torsion |
j |
-196021690129/818296875 |
j-invariant |
L |
6.364674582998 |
L(r)(E,1)/r! |
Ω |
0.37841038909511 |
Real period |
R |
1.4016252298239 |
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 |
3795b2 56925r2 125235bk2 |
Quadratic twists by: -3 5 -11 |