Atkin-Lehner |
3- 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16215g |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-17528415 = -1 · 3 · 5 · 232 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,57,-107] |
[a1,a2,a3,a4,a6] |
Generators |
[762:2095:216] |
Generators of the group modulo torsion |
j |
21001731479/17528415 |
j-invariant |
L |
7.0508411551838 |
L(r)(E,1)/r! |
Ω |
1.2093073687443 |
Real period |
R |
5.8304789480487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48645e2 81075g2 |
Quadratic twists by: -3 5 |