Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bu |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
-1.9309587959401E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1965848,2365932831] |
[a1,a2,a3,a4,a6] |
Generators |
[2141:88191:1] |
Generators of the group modulo torsion |
j |
-1152512864423631752761/2648777497860226500 |
j-invariant |
L |
8.0485425217728 |
L(r)(E,1)/r! |
Ω |
0.13107129370634 |
Real period |
R |
0.36551093565951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530i1 |
Quadratic twists by: -3 |