Atkin-Lehner |
2+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11242d |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-60808539379073024 = -1 · 224 · 7 · 113 · 733 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-250587,49697382] |
[a1,a2,a3,a4,a6] |
Generators |
[32565:1030232:27] |
Generators of the group modulo torsion |
j |
-1740190651604549937577/60808539379073024 |
j-invariant |
L |
4.7864484699456 |
L(r)(E,1)/r! |
Ω |
0.34864781624747 |
Real period |
R |
2.2881009846663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936q2 101178bx2 78694d2 123662v2 |
Quadratic twists by: -4 -3 -7 -11 |