Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816bg |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
42724205568 = 210 · 36 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 11+ 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11441,467127] |
[a1,a2,a3,a4,a6] |
Generators |
[58:45:1] |
Generators of the group modulo torsion |
j |
161753494256896/41722857 |
j-invariant |
L |
11.111032052585 |
L(r)(E,1)/r! |
Ω |
1.1145579415482 |
Real period |
R |
1.6615005880065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816bz1 11352c1 |
Quadratic twists by: -4 8 |