Atkin-Lehner |
3- 7+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
56763f |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
4597803 = 36 · 7 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071,-13226] |
[a1,a2,a3,a4,a6] |
j |
186463002097/6307 |
j-invariant |
L |
3.3380593431078 |
L(r)(E,1)/r! |
Ω |
0.83451483615835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6307e1 |
Quadratic twists by: -3 |