Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400y |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-16524000000 = -1 · 28 · 35 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -1 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-7237] |
[a1,a2,a3,a4,a6] |
j |
-2249728/4131 |
j-invariant |
L |
2.4658232345404 |
L(r)(E,1)/r! |
Ω |
0.49316464690808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10200y1 81600fw1 61200ca1 816c1 |
Quadratic twists by: -4 8 -3 5 |