Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15808p |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-42744832 = -1 · 210 · 133 · 19 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7673,256159] |
[a1,a2,a3,a4,a6] |
Generators |
[50:3:1] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
2.5685077964796 |
L(r)(E,1)/r! |
Ω |
1.6950827853284 |
Real period |
R |
1.5152698255867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15808a2 3952i2 |
Quadratic twists by: -4 8 |