Atkin-Lehner |
2+ 3- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234j |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
246045491298 = 2 · 314 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8802,319162] |
[a1,a2,a3,a4,a6] |
j |
103458941358625/337510962 |
j-invariant |
L |
1.9820430882449 |
L(r)(E,1)/r! |
Ω |
0.99102154412255 |
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 |
9078e2 |
Quadratic twists by: -3 |