Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
9696g |
Isogeny class |
Conductor |
9696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-155136 = -1 · 29 · 3 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,84] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-7301384/303 |
j-invariant |
L |
3.3169775426361 |
L(r)(E,1)/r! |
Ω |
3.2168486690548 |
Real period |
R |
0.51556319303182 |
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 |
9696j1 19392bm1 29088b1 |
Quadratic twists by: -4 8 -3 |