Atkin-Lehner |
3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015t |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
3.2767661161187E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62422800,168666113007] |
[a1,a2,a3,a4,a6] |
j |
26900072359292240131786963201/3276766116118730000390625 |
j-invariant |
L |
1.536239409082 |
L(r)(E,1)/r! |
Ω |
0.076811970454102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
45045u2 75075p2 105105h2 |
Quadratic twists by: -3 5 -7 |