Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32096a |
Isogeny class |
Conductor |
32096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-1091264 = -1 · 26 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ 1 3 1 0 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
29218112/17051 |
j-invariant |
L |
8.4122689768001 |
L(r)(E,1)/r! |
Ω |
1.6266193408656 |
Real period |
R |
1.2929068229823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32096e1 64192l1 |
Quadratic twists by: -4 8 |