Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56304bx |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
714536405292699648 = 212 · 313 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243264,21878768] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:6831:1] |
Generators of the group modulo torsion |
j |
533174986473472/239296796397 |
j-invariant |
L |
7.6714387748595 |
L(r)(E,1)/r! |
Ω |
0.25644035649782 |
Real period |
R |
2.9915099477977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3519g1 18768j1 |
Quadratic twists by: -4 -3 |