Atkin-Lehner |
5+ 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21385a |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
83436250625 = 54 · 75 · 132 · 47 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16349,803091] |
[a1,a2,a3,a4,a6] |
j |
483235807008652489/83436250625 |
j-invariant |
L |
1.0463897990134 |
L(r)(E,1)/r! |
Ω |
1.0463897990134 |
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 |
106925o1 |
Quadratic twists by: 5 |