Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bl |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1.647196500338E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1113208,-407823034] |
[a1,a2,a3,a4,a6] |
Generators |
[-503:5243:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
4.5743514725838 |
L(r)(E,1)/r! |
Ω |
0.14800749838971 |
Real period |
R |
1.2877589317973 |
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 |
57330ek1 95550gw1 2730a1 |
Quadratic twists by: -3 5 -7 |