Atkin-Lehner |
3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53361y |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-202232026977976611 = -1 · 36 · 76 · 119 |
Discriminant |
Eigenvalues |
0 3- -3 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-391314,-96670863] |
[a1,a2,a3,a4,a6] |
Generators |
[107842581:3436316747:79507] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
3.5933710039562 |
L(r)(E,1)/r! |
Ω |
0.095270386264653 |
Real period |
R |
9.4294017923891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5929a2 1089e2 53361y1 |
Quadratic twists by: -3 -7 -11 |