Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4692c |
Isogeny class |
Conductor |
4692 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
2702592 = 28 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 4 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,-369] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
351232000/10557 |
j-invariant |
L |
4.0332156149419 |
L(r)(E,1)/r! |
Ω |
1.5388238903109 |
Real period |
R |
0.87365761179403 |
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 |
18768k1 75072a1 14076h1 117300j1 |
Quadratic twists by: -4 8 -3 5 |