Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792u |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
50761728 = 212 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,-864] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
3.9025001014672 |
L(r)(E,1)/r! |
Ω |
1.3099141704195 |
Real period |
R |
1.4896014523674 |
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 |
9792s1 4896q1 1088b1 |
Quadratic twists by: -4 8 -3 |