Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112i |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
416403408 = 24 · 3 · 234 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[38889:270215:729] |
Generators of the group modulo torsion |
j |
61604313088/26025213 |
j-invariant |
L |
5.3247161089618 |
L(r)(E,1)/r! |
Ω |
1.3065961583528 |
Real period |
R |
8.1505154824189 |
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 |
34224k1 51336c1 |
Quadratic twists by: -4 -3 |