Atkin-Lehner |
3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015t |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-3.727008331883E+26 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90855325,866970594882] |
[a1,a2,a3,a4,a6] |
j |
82942070120330816933825086799/372700833188302062975155625 |
j-invariant |
L |
1.536239409082 |
L(r)(E,1)/r! |
Ω |
0.038405985227051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45045u3 75075p3 105105h3 |
Quadratic twists by: -3 5 -7 |