Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19488h |
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 |
[13:48:1] |
Generators of the group modulo torsion |
j |
8000/52983 |
j-invariant |
L |
6.4770355711744 |
L(r)(E,1)/r! |
Ω |
1.1601481004849 |
Real period |
R |
2.7914692824422 |
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 |
19488d1 38976bf1 58464k1 |
Quadratic twists by: -4 8 -3 |