Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bm |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.7383281233606E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4734914,-2658322857] |
[a1,a2,a3,a4,a6] |
Generators |
[74849812418934:1338979471746361:29047689224] |
Generators of the group modulo torsion |
j |
108784086144553/34640398026 |
j-invariant |
L |
13.806122249742 |
L(r)(E,1)/r! |
Ω |
0.10491972836156 |
Real period |
R |
16.448434416407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000238165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262f2 5382l2 |
Quadratic twists by: -3 -23 |