Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658x |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
42577920 |
Modular degree for the optimal curve |
Δ |
-2.0486421548635E+27 |
Discriminant |
Eigenvalues |
2- 3+ -4 -1 -3 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,183947455,-1954438168129] |
[a1,a2,a3,a4,a6] |
Generators |
[78593:22275904:1] |
Generators of the group modulo torsion |
j |
142608347930492655397991/424429919407109820672 |
j-invariant |
L |
4.1062999470426 |
L(r)(E,1)/r! |
Ω |
0.023839021359217 |
Real period |
R |
10.765699766916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666f1 |
Quadratic twists by: 13 |