Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350ck |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
151632 |
Modular degree for the optimal curve |
Δ |
-461049633800 = -1 · 23 · 52 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1617,-20863] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5505:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
13.416889161008 |
L(r)(E,1)/r! |
Ω |
0.51012809682761 |
Real period |
R |
4.3835032866973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bu1 350c1 |
Quadratic twists by: 5 -19 |