Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4284i |
Isogeny class |
Conductor |
4284 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
637099344 = 24 · 39 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,4345] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
1302642688/54621 |
j-invariant |
L |
3.3455603985677 |
L(r)(E,1)/r! |
Ω |
1.6059601976392 |
Real period |
R |
0.34720250264044 |
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 |
17136be1 68544ck1 1428d1 107100q1 |
Quadratic twists by: -4 8 -3 5 |