Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384bf |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-223449429168 = -1 · 24 · 37 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,22710] |
[a1,a2,a3,a4,a6] |
Generators |
[46:342:1] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
4.9527040031007 |
L(r)(E,1)/r! |
Ω |
0.80171918961232 |
Real period |
R |
0.44125745801484 |
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 |
1596a1 25536cc1 19152bw1 44688bw1 |
Quadratic twists by: -4 8 -3 -7 |