Atkin-Lehner |
2+ 3- 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410a |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3713891308984E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-566865,-758751219] |
[a1,a2,a3,a4,a6] |
j |
-27633477663066497041/325293433593750000 |
j-invariant |
L |
0.60002141536344 |
L(r)(E,1)/r! |
Ω |
0.075002625783844 |
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 |
40470bm3 |
Quadratic twists by: -3 |