Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2706r |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5104222958736 = -1 · 24 · 312 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1661,-105391] |
[a1,a2,a3,a4,a6] |
Generators |
[44:209:1] |
Generators of the group modulo torsion |
j |
506776266613583/5104222958736 |
j-invariant |
L |
4.877434100752 |
L(r)(E,1)/r! |
Ω |
0.37825182549951 |
Real period |
R |
1.0745561933312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21648q3 86592g3 8118a4 67650l3 |
Quadratic twists by: -4 8 -3 5 |