Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312l |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.1767129930153E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11+ 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8648640,-13290051456] |
[a1,a2,a3,a4,a6] |
j |
17466551704682106586559/28728344556038333646 |
j-invariant |
L |
1.7688849347926 |
L(r)(E,1)/r! |
Ω |
0.055277654212269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1914p2 61248ck2 45936bu2 |
Quadratic twists by: -4 8 -3 |