Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782r |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2587682232716825552 = 24 · 76 · 1110 · 53 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-442620,82620608] |
[a1,a2,a3,a4,a6] |
j |
5413301743326625/1460679159632 |
j-invariant |
L |
2.8741278093309 |
L(r)(E,1)/r! |
Ω |
0.23951064635899 |
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 |
8162h2 |
Quadratic twists by: -11 |