Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160i |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42403046400 = 210 · 34 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3440,75888] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:390:1] |
Generators of the group modulo torsion |
j |
4397697224644/41409225 |
j-invariant |
L |
6.4533924997076 |
L(r)(E,1)/r! |
Ω |
1.1481564805703 |
Real period |
R |
1.4051639756678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320h2 51480bm2 85800br2 |
Quadratic twists by: -4 -3 5 |