Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19380h |
Isogeny class |
Conductor |
19380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
197676000000 = 28 · 32 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1620,-12600] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:90:1] [-18:102:1] |
Generators of the group modulo torsion |
j |
1837794070096/772171875 |
j-invariant |
L |
5.9729716737452 |
L(r)(E,1)/r! |
Ω |
0.78119549853214 |
Real period |
R |
0.42477428540753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cw2 58140d2 96900v2 |
Quadratic twists by: -4 -3 5 |