Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22338l |
Isogeny class |
Conductor |
22338 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2595726441288 = 23 · 36 · 174 · 732 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4340,79183] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:289:1] |
Generators of the group modulo torsion |
j |
12398568773625/3560667272 |
j-invariant |
L |
8.6105360978658 |
L(r)(E,1)/r! |
Ω |
0.7544726907101 |
Real period |
R |
0.95105453604531 |
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 |
2482a2 |
Quadratic twists by: -3 |