Atkin-Lehner |
5+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21385f |
Isogeny class |
Conductor |
21385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
175891625 = 53 · 72 · 13 · 472 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8674,310191] |
[a1,a2,a3,a4,a6] |
j |
72162237392379289/175891625 |
j-invariant |
L |
1.5615081611975 |
L(r)(E,1)/r! |
Ω |
1.5615081611975 |
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 |
106925i2 |
Quadratic twists by: 5 |