Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cy |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-21203173376 = -1 · 214 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3 -3 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-784,10976] |
[a1,a2,a3,a4,a6] |
Generators |
[651:2107:27] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
8.3870167606954 |
L(r)(E,1)/r! |
Ω |
1.1365363242985 |
Real period |
R |
3.6897266639816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bx1 8624l1 704i1 |
Quadratic twists by: -4 8 -7 |