Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1056h |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
2112 = 26 · 3 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
1906624/33 |
j-invariant |
L |
1.9302299100684 |
L(r)(E,1)/r! |
Ω |
4.6460288852141 |
Real period |
R |
0.830916017854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1056e1 2112o1 3168k1 26400u1 |
Quadratic twists by: -4 8 -3 5 |