Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19188k |
Isogeny class |
Conductor |
19188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
6216912 = 24 · 36 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1596,24541] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:805:64] |
Generators of the group modulo torsion |
j |
38545604608/533 |
j-invariant |
L |
5.0990946302011 |
L(r)(E,1)/r! |
Ω |
2.1754957577893 |
Real period |
R |
4.6877541470206 |
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 |
76752br1 2132b1 |
Quadratic twists by: -4 -3 |