Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cx |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
684 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-9.18732672E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2378005,-366528975] |
[a1,a2,a3,a4,a6] |
Generators |
[1390:-75695:1] |
Generators of the group modulo torsion |
j |
12290700069462444495239/7592832000000000000 |
j-invariant |
L |
11.545437895436 |
L(r)(E,1)/r! |
Ω |
0.090839144285218 |
Real period |
R |
0.18581521547308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bk1 |
Quadratic twists by: -11 |