Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bw |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6486071021298 = -1 · 2 · 32 · 118 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2120,127986] |
[a1,a2,a3,a4,a6] |
Generators |
[542:4085:8] |
Generators of the group modulo torsion |
j |
-594823321/3661218 |
j-invariant |
L |
7.9035055470904 |
L(r)(E,1)/r! |
Ω |
0.64826801831006 |
Real period |
R |
3.0479313045913 |
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 |
89298ba2 2706i2 |
Quadratic twists by: -3 -11 |