Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792y |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[7:27:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
4.6488250869474 |
L(r)(E,1)/r! |
Ω |
1.5943543532938 |
Real period |
R |
1.4579020897529 |
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 |
9792cc1 153b1 3264e1 |
Quadratic twists by: -4 8 -3 |