Atkin-Lehner |
2- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11696n |
Isogeny class |
Conductor |
11696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-11696 = -1 · 24 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 0 6 -7 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[58:133:8] |
Generators of the group modulo torsion |
j |
-35995648/731 |
j-invariant |
L |
4.3099261852275 |
L(r)(E,1)/r! |
Ω |
1.168494120352 |
Real period |
R |
3.6884449054217 |
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 |
2924b1 46784bd1 105264bg1 |
Quadratic twists by: -4 8 -3 |