Atkin-Lehner |
2+ 3- 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
59274a |
Isogeny class |
Conductor |
59274 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10489711066722 = 2 · 316 · 372 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6858,155034] |
[a1,a2,a3,a4,a6] |
j |
48935524432033/14389178418 |
j-invariant |
L |
1.3412596605269 |
L(r)(E,1)/r! |
Ω |
0.67062983241211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19758a2 |
Quadratic twists by: -3 |