Atkin-Lehner |
2+ 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570j |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-24885845088346890 = -1 · 2 · 37 · 5 · 198 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72045,-1503545] |
[a1,a2,a3,a4,a6] |
j |
56728895769043919/34136961712410 |
j-invariant |
L |
1.75878048338 |
L(r)(E,1)/r! |
Ω |
0.21984761350848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190z3 |
Quadratic twists by: -3 |