Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588n |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
2.3837039322379E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-861276,-198676231] |
[a1,a2,a3,a4,a6] |
j |
2757231177908224/930196594089 |
j-invariant |
L |
1.9318481562596 |
L(r)(E,1)/r! |
Ω |
0.16098734635899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196c1 42588z1 |
Quadratic twists by: -3 13 |