Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840ck |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-348765543936000 = -1 · 212 · 38 · 53 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11712,-1022416] |
[a1,a2,a3,a4,a6] |
j |
-59501707264/116800875 |
j-invariant |
L |
1.2945560750777 |
L(r)(E,1)/r! |
Ω |
0.21575934584721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2115k2 11280m2 |
Quadratic twists by: -4 -3 |