Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792p |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-234806619817377792 = -1 · 221 · 318 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124140,-28756816] |
[a1,a2,a3,a4,a6] |
Generators |
[16770:312256:27] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
4.8051931900056 |
L(r)(E,1)/r! |
Ω |
0.1218761044284 |
Real period |
R |
4.92835861113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9792bw2 306a2 3264a2 |
Quadratic twists by: -4 8 -3 |