Atkin-Lehner |
3+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52767b |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
156852070947 = 33 · 112 · 134 · 412 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27012,-1701927] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:7311:8] |
Generators of the group modulo torsion |
j |
80730792327814875/5809335961 |
j-invariant |
L |
5.1732913992037 |
L(r)(E,1)/r! |
Ω |
0.37240155945514 |
Real period |
R |
3.4729254401552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52767a2 |
Quadratic twists by: -3 |