Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696a |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-21625904 = -1 · 24 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 1 3 0 -2 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,224] |
[a1,a2,a3,a4,a6] |
Generators |
[10:121:8] |
Generators of the group modulo torsion |
j |
2048/1351619 |
j-invariant |
L |
6.2447526330231 |
L(r)(E,1)/r! |
Ω |
1.7041015241814 |
Real period |
R |
3.6645426017225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5848e1 46784y1 105264m1 |
Quadratic twists by: -4 8 -3 |