Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610n |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
27443694341250 = 2 · 36 · 54 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18899,966116] |
[a1,a2,a3,a4,a6] |
Generators |
[246:3226:1] |
Generators of the group modulo torsion |
j |
746461053445307689/27443694341250 |
j-invariant |
L |
3.4461483901171 |
L(r)(E,1)/r! |
Ω |
0.66140469059256 |
Real period |
R |
2.6051738361802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880bc2 16830cp2 28050cj2 61710co2 |
Quadratic twists by: -4 -3 5 -11 |