Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792o |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
812187648 = 216 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,1456] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:32:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
4.7472365979961 |
L(r)(E,1)/r! |
Ω |
1.4827439258017 |
Real period |
R |
1.600828206202 |
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 |
9792bu1 1224d1 1088d1 |
Quadratic twists by: -4 8 -3 |