Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936m |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-587464704 = -1 · 218 · 33 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 3 6 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3521,79263] |
[a1,a2,a3,a4,a6] |
Generators |
[43:96:1] |
Generators of the group modulo torsion |
j |
-18420660721/2241 |
j-invariant |
L |
6.1730721992598 |
L(r)(E,1)/r! |
Ω |
1.5705128395779 |
Real period |
R |
0.32755076578037 |
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 |
15936p1 249a1 47808h1 |
Quadratic twists by: -4 8 -3 |