Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160m |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4825666560 = 210 · 3 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3576,-81060] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:8:1] |
Generators of the group modulo torsion |
j |
4940122601956/4712565 |
j-invariant |
L |
3.7547941546538 |
L(r)(E,1)/r! |
Ω |
0.61739758934687 |
Real period |
R |
1.5204117328292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320l4 51480n4 85800bg4 |
Quadratic twists by: -4 -3 5 |