Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19152ca |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
24902668551979008 = 224 · 313 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146163,20123570] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:6390:1] |
Generators of the group modulo torsion |
j |
115650783909361/8339853312 |
j-invariant |
L |
6.5560397670546 |
L(r)(E,1)/r! |
Ω |
0.37011362771456 |
Real period |
R |
4.4283966302038 |
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 |
2394d1 76608ff1 6384ba1 |
Quadratic twists by: -4 8 -3 |