Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11385g |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-65591762922660645 = -1 · 318 · 5 · 112 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43268,-12788908] |
[a1,a2,a3,a4,a6] |
Generators |
[337:3120:1] |
Generators of the group modulo torsion |
j |
-12288170734201081/89974983433005 |
j-invariant |
L |
2.9477632053749 |
L(r)(E,1)/r! |
Ω |
0.14652201204938 |
Real period |
R |
5.0295569316599 |
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 |
3795j4 56925y3 125235k3 |
Quadratic twists by: -3 5 -11 |