Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bd |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1126225408 = -1 · 29 · 73 · 112 · 53 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14693,684289] |
[a1,a2,a3,a4,a6] |
Generators |
[66:23:1] [70:-33:1] |
Generators of the group modulo torsion |
j |
-2899156267929625/9307648 |
j-invariant |
L |
11.513819537618 |
L(r)(E,1)/r! |
Ω |
1.3497109406329 |
Real period |
R |
0.94784241830028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782s2 |
Quadratic twists by: -11 |