Atkin-Lehner |
2+ 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486i |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
236583828 = 22 · 36 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2481,48185] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-5:1] |
Generators of the group modulo torsion |
j |
2317260920337/324532 |
j-invariant |
L |
4.8401162271397 |
L(r)(E,1)/r! |
Ω |
1.6990159451658 |
Real period |
R |
0.71219405575789 |
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 |
2054e2 |
Quadratic twists by: -3 |