Atkin-Lehner |
2+ 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182d |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6078734046876356712 = 23 · 34 · 72 · 1112 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10366891,-12851340491] |
[a1,a2,a3,a4,a6] |
j |
123216643576798851051347257/6078734046876356712 |
j-invariant |
L |
1.0096479033766 |
L(r)(E,1)/r! |
Ω |
0.084137325281338 |
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 |
84546bh4 |
Quadratic twists by: -3 |