Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792cc |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-21415104 = -1 · 26 · 39 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-218] |
[a1,a2,a3,a4,a6] |
j |
32768/459 |
j-invariant |
L |
4.2134114763832 |
L(r)(E,1)/r! |
Ω |
1.0533528690958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9792y1 2448s1 3264z1 |
Quadratic twists by: -4 8 -3 |