Atkin-Lehner |
2- 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20124d |
Isogeny class |
Conductor |
20124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
2523308112 = 24 · 38 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-3247] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:27:1] [-8:9:1] |
Generators of the group modulo torsion |
j |
1048576000/216333 |
j-invariant |
L |
6.6914912972933 |
L(r)(E,1)/r! |
Ω |
1.0347813205039 |
Real period |
R |
1.0777625450426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496bb1 6708b1 |
Quadratic twists by: -4 -3 |