Atkin-Lehner |
2+ 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
96408a |
Isogeny class |
Conductor |
96408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-564641024688 = -1 · 24 · 39 · 132 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,594,35721] |
[a1,a2,a3,a4,a6] |
Generators |
[0:189:1] |
Generators of the group modulo torsion |
j |
73598976/1792921 |
j-invariant |
L |
5.4286096751906 |
L(r)(E,1)/r! |
Ω |
0.69085228477919 |
Real period |
R |
1.964461074568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96408l1 |
Quadratic twists by: -3 |