Atkin-Lehner |
3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355z |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2526336 |
Modular degree for the optimal curve |
Δ |
-97701586748965875 = -1 · 3 · 53 · 133 · 179 |
Discriminant |
Eigenvalues |
2 3- 5- 4 -4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3958240,-3032464319] |
[a1,a2,a3,a4,a6] |
j |
-57834888040448/823875 |
j-invariant |
L |
8.6697916780043 |
L(r)(E,1)/r! |
Ω |
0.053517232610343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56355e1 |
Quadratic twists by: 17 |