Atkin-Lehner |
3+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52767a |
Isogeny class |
Conductor |
52767 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
114345159720363 = 39 · 112 · 134 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-243110,46195138] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1547:1] |
Generators of the group modulo torsion |
j |
80730792327814875/5809335961 |
j-invariant |
L |
3.5032554438416 |
L(r)(E,1)/r! |
Ω |
0.56280845577017 |
Real period |
R |
1.5561490805319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52767b2 |
Quadratic twists by: -3 |