Atkin-Lehner |
2- 3- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416j |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
131031249806204928 = 213 · 38 · 176 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149888,-14034636] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:1944:1] |
Generators of the group modulo torsion |
j |
90921638966154625/31990051222218 |
j-invariant |
L |
8.9945457127864 |
L(r)(E,1)/r! |
Ω |
0.24966073840389 |
Real period |
R |
2.2516920794372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10302d2 |
Quadratic twists by: -4 |