Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056u |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 11+ -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3447,77895] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-9:1] |
Generators of the group modulo torsion |
j |
388329202944/473 |
j-invariant |
L |
2.1675908726118 |
L(r)(E,1)/r! |
Ω |
2.0354676668791 |
Real period |
R |
0.26622762275746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68112z1 3784e1 |
Quadratic twists by: -4 -3 |