Atkin-Lehner |
2- 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488d |
Isogeny class |
Conductor |
19488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-3390912 = -1 · 26 · 32 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,88] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
8000/52983 |
j-invariant |
L |
4.7415468529115 |
L(r)(E,1)/r! |
Ω |
1.9751823239037 |
Real period |
R |
1.2002808033287 |
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 |
19488h1 38976bp1 58464g1 |
Quadratic twists by: -4 8 -3 |