Atkin-Lehner |
3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661b |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
752411632299655653 = 34 · 137 · 236 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-906266,329061026] |
[a1,a2,a3,a4,a6] |
Generators |
[590:127:1] |
Generators of the group modulo torsion |
j |
17054173989052201/155881791117 |
j-invariant |
L |
3.092505171431 |
L(r)(E,1)/r! |
Ω |
0.28572767526571 |
Real period |
R |
2.70581522122 |
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 |
34983k2 897a2 |
Quadratic twists by: -3 13 |