Atkin-Lehner |
3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
2211f |
Isogeny class |
Conductor |
2211 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-14506371 = -1 · 39 · 11 · 67 |
Discriminant |
Eigenvalues |
0 3- -3 -1 11+ 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27,182] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] |
Generators of the group modulo torsion |
j |
-2258403328/14506371 |
j-invariant |
L |
2.6080984577621 |
L(r)(E,1)/r! |
Ω |
1.9149765536448 |
Real period |
R |
1.361947984584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35376r1 6633i1 55275a1 108339d1 |
Quadratic twists by: -4 -3 5 -7 |