Atkin-Lehner |
2- 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9696i |
Isogeny class |
Conductor |
9696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3723264 = 212 · 32 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 0 4 -3 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,219] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
12487168/909 |
j-invariant |
L |
4.4286413475432 |
L(r)(E,1)/r! |
Ω |
2.4378953902667 |
Real period |
R |
0.4541459577413 |
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 |
9696e1 19392bd1 29088i1 |
Quadratic twists by: -4 8 -3 |