Atkin-Lehner |
3+ 5- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15015g |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
33417359600625 = 32 · 54 · 74 · 114 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77090,8201630] |
[a1,a2,a3,a4,a6] |
j |
50666184613788176161/33417359600625 |
j-invariant |
L |
1.2979529322025 |
L(r)(E,1)/r! |
Ω |
0.64897646610125 |
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 |
45045o2 75075bq2 105105by2 |
Quadratic twists by: -3 5 -7 |