Atkin-Lehner |
2- 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658be |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
-1.5898170552277E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,836969,1895662313] |
[a1,a2,a3,a4,a6] |
j |
13433577463965959/329372273737728 |
j-invariant |
L |
9.4679283190875 |
L(r)(E,1)/r! |
Ω |
0.11271343236748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666h1 |
Quadratic twists by: 13 |