Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22386v |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
333693103021824 = 28 · 3 · 76 · 133 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8998619,10389163089] |
[a1,a2,a3,a4,a6] |
Generators |
[1734:-711:1] |
Generators of the group modulo torsion |
j |
80584461459025151375298097/333693103021824 |
j-invariant |
L |
8.4718563330289 |
L(r)(E,1)/r! |
Ω |
0.36361725578227 |
Real period |
R |
0.97078454958578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67158m2 |
Quadratic twists by: -3 |