Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488d |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
58931712 = 29 · 34 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288,1944] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:14:1] |
Generators of the group modulo torsion |
j |
5177717000/115101 |
j-invariant |
L |
4.7415468529115 |
L(r)(E,1)/r! |
Ω |
1.9751823239037 |
Real period |
R |
2.4005616066574 |
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 |
19488h2 38976bp2 58464g2 |
Quadratic twists by: -4 8 -3 |