Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966b |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-19586002176 = -1 · 28 · 39 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 4 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-636,9296] |
[a1,a2,a3,a4,a6] |
Generators |
[40:196:1] |
Generators of the group modulo torsion |
j |
-8560539/5888 |
j-invariant |
L |
3.7168464609235 |
L(r)(E,1)/r! |
Ω |
1.1237314680392 |
Real period |
R |
0.82689827755295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69966w1 69966u1 |
Quadratic twists by: -3 13 |