Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9384f |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
300288 = 28 · 3 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
2249728/1173 |
j-invariant |
L |
5.5736481443269 |
L(r)(E,1)/r! |
Ω |
2.6994389028175 |
Real period |
R |
1.0323716048008 |
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 |
18768b1 75072ba1 28152e1 |
Quadratic twists by: -4 8 -3 |